7
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I'm sure you've seen some of these numbers before:

1 3 8 13 21 30 36 45 54 63

Whats the next number in the sequence? And what have I done to the Fibonacci sequence?

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    $\begingroup$ oeis.org/A094110 $\endgroup$ – itriedacrab Jan 10 '18 at 1:41
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    $\begingroup$ @itriedacrab - why aren't you posting that as an answer, seems you've got it? $\endgroup$ – Phylyp Jan 10 '18 at 1:43
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    $\begingroup$ @Phylyp I've posted a number sequence question here before, and have since learned my lesson to give those types of questions a wide berth. $\endgroup$ – itriedacrab Jan 10 '18 at 1:46
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    $\begingroup$ @itriedacrab, you're right. This was such a useless sequence, why does OEIS have it :)? Anyway, I should have checked, but forgot. $\endgroup$ – R.M Jan 10 '18 at 1:49
  • $\begingroup$ @R.M Did you mean 1,4,8,13,21,30,36,45,54,63 ? $\endgroup$ – rhsquared Jan 10 '18 at 8:28
8
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every number is the sum of letters (without spaces) of all the previous numbers.

3 = one (3 letters)
8 = three (5) + one (3)
13 = Eight (5) + three (5) + one (3)
21 = Thirteen (8) + Eight (5) + three (5) + one (3)
30 = twentyOne (9) + 21
36 = Thirty (6) + 30
and so on....

It's still a Fibonacci series of count of letters of n-1th value & number of n-2th value

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    $\begingroup$ But where is the number 1? $\endgroup$ – rhsquared Jan 10 '18 at 12:04
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    $\begingroup$ @RadoslavHristov My understanding is that starting with one is simply a convention. Then, if you write it down, the next number will logically be three. See also the link in the comments. Note that I'd say it makes sense to start with zero instead (since there's nothing before it), but that's just my opinion. $\endgroup$ – Lolgast Jan 10 '18 at 13:24
  • $\begingroup$ You are right, there should 0 at the beginning just like actual Fibonacci series. $\endgroup$ – Jugal Anchalia Jan 11 '18 at 13:01

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