The next number in the series: $0$, $0$, $2$, $6$, $12$, $21$, $34$, $51$
$begingroup$
I know that "next number" questions are not popular here, but this one is tough and I couldn't figure out the pattern. To give an idea one of the questions had a pattern of $operatorname{Prime}(operatorname{Fib}(n))$.
So this is the series:
$$0, 0, 2, 6, 12, 21, 34, 51$$
What is the next number in the series ?
sequences-and-series puzzle
edited Dec 5 '18 at 20:55
Blue
48.7k870156
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
$endgroup$
add a comment |
$begingroup$
I know that "next number" questions are not popular here, but this one is tough and I couldn't figure out the pattern. To give an idea one of the questions had a pattern of $operatorname{Prime}(operatorname{Fib}(n))$.
So this is the series:
$$0, 0, 2, 6, 12, 21, 34, 51$$
What is the next number in the series ?
sequences-and-series puzzle
edited Dec 5 '18 at 20:55
Blue
48.7k870156
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
$endgroup$
3
$begingroup$
OEIS has nothing. Even when removing the initial $0$'s to account for possible different initial point.
$endgroup$
– Arthur
Dec 5 '18 at 20:05
2
$begingroup$
Could you give some context? Where did you see this question?
$endgroup$
– Kevin Long
Dec 5 '18 at 20:07
$begingroup$
My friend asked me this question, he said he saw it in a competition.
$endgroup$
– papabiceps
Dec 5 '18 at 20:14
4
$begingroup$
@papabiceps Ew, a "what's the next number" question in a competition? Yuck.
$endgroup$
– Frpzzd
Dec 5 '18 at 21:02
add a comment |
$begingroup$
I know that "next number" questions are not popular here, but this one is tough and I couldn't figure out the pattern. To give an idea one of the questions had a pattern of $operatorname{Prime}(operatorname{Fib}(n))$.
So this is the series:
$$0, 0, 2, 6, 12, 21, 34, 51$$
What is the next number in the series ?
sequences-and-series puzzle
edited Dec 5 '18 at 20:55
Blue
48.7k870156
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
$endgroup$
I know that "next number" questions are not popular here, but this one is tough and I couldn't figure out the pattern. To give an idea one of the questions had a pattern of $operatorname{Prime}(operatorname{Fib}(n))$.
So this is the series:
$$0, 0, 2, 6, 12, 21, 34, 51$$
What is the next number in the series ?
sequences-and-series puzzle
sequences-and-series puzzle
edited Dec 5 '18 at 20:55
Blue
48.7k870156
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
edited Dec 5 '18 at 20:55
Blue
48.7k870156
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
edited Dec 5 '18 at 20:55
Blue
48.7k870156
edited Dec 5 '18 at 20:55
Blue
48.7k870156
edited Dec 5 '18 at 20:55
Blue
48.7k870156
48.7k870156
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
asked Dec 5 '18 at 20:03
papabicepspapabiceps
322113
322113
3
$begingroup$
OEIS has nothing. Even when removing the initial $0$'s to account for possible different initial point.
$endgroup$
– Arthur
Dec 5 '18 at 20:05
2
$begingroup$
Could you give some context? Where did you see this question?
$endgroup$
– Kevin Long
Dec 5 '18 at 20:07
$begingroup$
My friend asked me this question, he said he saw it in a competition.
$endgroup$
– papabiceps
Dec 5 '18 at 20:14
4
$begingroup$
@papabiceps Ew, a "what's the next number" question in a competition? Yuck.
$endgroup$
– Frpzzd
Dec 5 '18 at 21:02
add a comment |
3
$begingroup$
OEIS has nothing. Even when removing the initial $0$'s to account for possible different initial point.
$endgroup$
– Arthur
Dec 5 '18 at 20:05
2
$begingroup$
Could you give some context? Where did you see this question?
$endgroup$
– Kevin Long
Dec 5 '18 at 20:07
$begingroup$
My friend asked me this question, he said he saw it in a competition.
$endgroup$
– papabiceps
Dec 5 '18 at 20:14
4
$begingroup$
@papabiceps Ew, a "what's the next number" question in a competition? Yuck.
$endgroup$
– Frpzzd
Dec 5 '18 at 21:02
3
3
$begingroup$
OEIS has nothing. Even when removing the initial $0$'s to account for possible different initial point.
$endgroup$
– Arthur
Dec 5 '18 at 20:05
$begingroup$
OEIS has nothing. Even when removing the initial $0$'s to account for possible different initial point.
$endgroup$
– Arthur
Dec 5 '18 at 20:05
2
2
$begingroup$
Could you give some context? Where did you see this question?
$endgroup$
– Kevin Long
Dec 5 '18 at 20:07
$begingroup$
Could you give some context? Where did you see this question?
$endgroup$
– Kevin Long
Dec 5 '18 at 20:07
$begingroup$
My friend asked me this question, he said he saw it in a competition.
$endgroup$
– papabiceps
Dec 5 '18 at 20:14
$begingroup$
My friend asked me this question, he said he saw it in a competition.
$endgroup$
– papabiceps
Dec 5 '18 at 20:14
4
4
$begingroup$
@papabiceps Ew, a "what's the next number" question in a competition? Yuck.
$endgroup$
– Frpzzd
Dec 5 '18 at 21:02
$begingroup$
@papabiceps Ew, a "what's the next number" question in a competition? Yuck.
$endgroup$
– Frpzzd
Dec 5 '18 at 21:02
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
I'll find some pattern and then claim a correct answer:
0, 0, 2, 6, 12, 21, 34, 51
0, 2, 4, 6, 9, 13, 17
2, 2, 2, 3, 4, 4
Then 4 + 17 = 21 and 21 + 51 = 72 .
Well, {2, 2, 2, 3, 4, 4} calls for {2, 2, 2, 3, 4, 4, 4} but a continuing pattern is debatable after that. It might be {2, 2, 2, 3, 4, 4, 4, 5, ...}.
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
$endgroup$
$begingroup$
Can you elaborate?
$endgroup$
– johnnycrab
Dec 5 '18 at 20:53
$begingroup$
@johnnycrab Binomial transform. But not very convincing here.
$endgroup$
– Jean-Claude Arbaut
Dec 5 '18 at 21:15
$begingroup$
@Jean-Claude Arbaut Thanks, didn't see it from just looking at the numbers.
$endgroup$
– johnnycrab
Dec 5 '18 at 21:18
add a comment |
Your Answer
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1 Answer
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1 Answer
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active
oldest
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active
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$begingroup$
I'll find some pattern and then claim a correct answer:
0, 0, 2, 6, 12, 21, 34, 51
0, 2, 4, 6, 9, 13, 17
2, 2, 2, 3, 4, 4
Then 4 + 17 = 21 and 21 + 51 = 72 .
Well, {2, 2, 2, 3, 4, 4} calls for {2, 2, 2, 3, 4, 4, 4} but a continuing pattern is debatable after that. It might be {2, 2, 2, 3, 4, 4, 4, 5, ...}.
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
$endgroup$
$begingroup$
Can you elaborate?
$endgroup$
– johnnycrab
Dec 5 '18 at 20:53
$begingroup$
@johnnycrab Binomial transform. But not very convincing here.
$endgroup$
– Jean-Claude Arbaut
Dec 5 '18 at 21:15
$begingroup$
@Jean-Claude Arbaut Thanks, didn't see it from just looking at the numbers.
$endgroup$
– johnnycrab
Dec 5 '18 at 21:18
add a comment |
$begingroup$
I'll find some pattern and then claim a correct answer:
0, 0, 2, 6, 12, 21, 34, 51
0, 2, 4, 6, 9, 13, 17
2, 2, 2, 3, 4, 4
Then 4 + 17 = 21 and 21 + 51 = 72 .
Well, {2, 2, 2, 3, 4, 4} calls for {2, 2, 2, 3, 4, 4, 4} but a continuing pattern is debatable after that. It might be {2, 2, 2, 3, 4, 4, 4, 5, ...}.
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
$endgroup$
$begingroup$
Can you elaborate?
$endgroup$
– johnnycrab
Dec 5 '18 at 20:53
$begingroup$
@johnnycrab Binomial transform. But not very convincing here.
$endgroup$
– Jean-Claude Arbaut
Dec 5 '18 at 21:15
$begingroup$
@Jean-Claude Arbaut Thanks, didn't see it from just looking at the numbers.
$endgroup$
– johnnycrab
Dec 5 '18 at 21:18
add a comment |
$begingroup$
I'll find some pattern and then claim a correct answer:
0, 0, 2, 6, 12, 21, 34, 51
0, 2, 4, 6, 9, 13, 17
2, 2, 2, 3, 4, 4
Then 4 + 17 = 21 and 21 + 51 = 72 .
Well, {2, 2, 2, 3, 4, 4} calls for {2, 2, 2, 3, 4, 4, 4} but a continuing pattern is debatable after that. It might be {2, 2, 2, 3, 4, 4, 4, 5, ...}.
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
$endgroup$
I'll find some pattern and then claim a correct answer:
0, 0, 2, 6, 12, 21, 34, 51
0, 2, 4, 6, 9, 13, 17
2, 2, 2, 3, 4, 4
Then 4 + 17 = 21 and 21 + 51 = 72 .
Well, {2, 2, 2, 3, 4, 4} calls for {2, 2, 2, 3, 4, 4, 4} but a continuing pattern is debatable after that. It might be {2, 2, 2, 3, 4, 4, 4, 5, ...}.
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
edited Dec 5 '18 at 21:11
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
answered Dec 5 '18 at 20:50
S SpringS Spring
1723
1723
$begingroup$
Can you elaborate?
$endgroup$
– johnnycrab
Dec 5 '18 at 20:53
$begingroup$
@johnnycrab Binomial transform. But not very convincing here.
$endgroup$
– Jean-Claude Arbaut
Dec 5 '18 at 21:15
$begingroup$
@Jean-Claude Arbaut Thanks, didn't see it from just looking at the numbers.
$endgroup$
– johnnycrab
Dec 5 '18 at 21:18
add a comment |
$begingroup$
Can you elaborate?
$endgroup$
– johnnycrab
Dec 5 '18 at 20:53
$begingroup$
@johnnycrab Binomial transform. But not very convincing here.
$endgroup$
– Jean-Claude Arbaut
Dec 5 '18 at 21:15
$begingroup$
@Jean-Claude Arbaut Thanks, didn't see it from just looking at the numbers.
$endgroup$
– johnnycrab
Dec 5 '18 at 21:18
$begingroup$
Can you elaborate?
$endgroup$
– johnnycrab
Dec 5 '18 at 20:53
$begingroup$
Can you elaborate?
$endgroup$
– johnnycrab
Dec 5 '18 at 20:53
$begingroup$
@johnnycrab Binomial transform. But not very convincing here.
$endgroup$
– Jean-Claude Arbaut
Dec 5 '18 at 21:15
$begingroup$
@johnnycrab Binomial transform. But not very convincing here.
$endgroup$
– Jean-Claude Arbaut
Dec 5 '18 at 21:15
$begingroup$
@Jean-Claude Arbaut Thanks, didn't see it from just looking at the numbers.
$endgroup$
– johnnycrab
Dec 5 '18 at 21:18
$begingroup$
@Jean-Claude Arbaut Thanks, didn't see it from just looking at the numbers.
$endgroup$
– johnnycrab
Dec 5 '18 at 21:18
add a comment |
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3
$begingroup$
OEIS has nothing. Even when removing the initial $0$'s to account for possible different initial point.
$endgroup$
– Arthur
Dec 5 '18 at 20:05
2
$begingroup$
Could you give some context? Where did you see this question?
$endgroup$
– Kevin Long
Dec 5 '18 at 20:07
$begingroup$
My friend asked me this question, he said he saw it in a competition.
$endgroup$
– papabiceps
Dec 5 '18 at 20:14
4
$begingroup$
@papabiceps Ew, a "what's the next number" question in a competition? Yuck.
$endgroup$
– Frpzzd
Dec 5 '18 at 21:02