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3, 1, 4, 8, 8, 21, 21, 62, 128, 190, 430, 831, ?

Find the number that comes next.

Hint 1:

the beginning of the sequence is a hint.

Hint 2:

think n-bonacci, use hint-1 for n.

as nikki pointed out my earlier sequence had some mistakes, this is the corrected sequence, i will award the user $(+25)$ bounty for finding it out.

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4
  • 1
    $\begingroup$ 3.14 roughly estimates to pi $\endgroup$
    – Duck
    Aug 11, 2018 at 19:34
  • $\begingroup$ that is the first hint @Duck $\endgroup$
    – Shahriar Mahmud Sajid
    Aug 12, 2018 at 4:27
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    $\begingroup$ (Don't forget that bounty!) :) $\endgroup$
    – Rubio ♦
    Aug 28, 2018 at 10:38
  • $\begingroup$ i completely forgot about this riddle, as there were no more activity on it, thanks for the reminder. $\endgroup$
    – Shahriar Mahmud Sajid
    Aug 28, 2018 at 10:40

1 Answer 1

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3
+50
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Got it

The n in the n-bonacci varies as the digits in the value of pi
The value of pi is 3.14159... Since it starts with 3, take the first 3 digits as is
3, 1, 4
Next, take the sum of the last 3 digits (coz that's the first digit in the value of pi)
3, 1, 4, 8
Next, take the sum of the last 1 digit (coz that's the next digit in the value of pi)
3, 1, 4, 8, 8
Proceed in the following manner to get the next number in the sequence as
1545 (value of pi till there is 3.1415926535)

Although

According to this, the 6th and 7th numbers should be 21, 21

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2
  • $\begingroup$ you got it right, I'll wait for a day to let others come up with some more answers, but you are definitely getting the (✓) tomorrow . also about your confusion, i checked my calculation, it is correct, if you don't figure out how, I'll comment it tomorrow. $\endgroup$
    – Shahriar Mahmud Sajid
    Aug 12, 2018 at 7:11
  • $\begingroup$ i just re-checked, and turns out you are right, making the changes to the question now. @nikki $\endgroup$
    – Shahriar Mahmud Sajid
    Aug 12, 2018 at 7:19

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