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A346074 a(n) = 1 + Sum_{k=0..n-5} a(k) * a(n-k-5). 2
1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 9, 14, 21, 30, 41, 59, 89, 136, 205, 301, 443, 664, 1011, 1545, 2341, 3530, 5341, 8143, 12487, 19148, 29299, 44817, 68721, 105742, 163025, 251392, 387595, 597988, 924047, 1430167, 2215595, 3433788, 5323915, 8260652, 12829849 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..44.

FORMULA

G.f. A(x) satisfies: A(x) = 1 / (1 - x) + x^5 * A(x)^2.

MATHEMATICA

a[n_] := a[n] = 1 + Sum[a[k] a[n - k - 5], {k, 0, n - 5}]; Table[a[n], {n, 0, 44}]

nmax = 44; A[_] = 0; Do[A[x_] = 1/(1 - x) + x^5 A[x]^2 + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]

CROSSREFS

Cf. A007317, A090344, A216604, A307972, A346073.

Sequence in context: A308020 A200444 A307972 * A211697 A211676 A076299

Adjacent sequences:  A346071 A346072 A346073 * A346075 A346076 A346077

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 04 2021

STATUS

approved

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Last modified October 27 13:43 EDT 2021. Contains 348276 sequences. (Running on oeis4.)