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A265976 Expansion of Product_{k>=1} 1/(1 - 5*k*x^k). 4
1, 5, 35, 190, 1070, 5525, 29080, 147485, 752790, 3789170, 19105800, 95794930, 480650335, 2406018490, 12047084370, 60264282575, 301493182380, 1507758356660, 7540528037090, 37705593514220, 188545393000350, 942756783659980, 4713958620697385, 23570092258449540 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

FORMULA

a(n) ~ c * 5^n, where c = Product_{m>=2} 1/(1 - m/5^(m-1)) = 1.977268427518901757865749340705853730491796767544158844539130847296...

MAPLE

b:= proc(n, i) option remember; `if`(n=0 or i=1,

      5^n, b(n, i-1) +i*5*b(n-i, min(n-i, i)))

    end:

a:= n-> b(n$2):

seq(a(n), n=0..32);  # Alois P. Heinz, Aug 23 2019

MATHEMATICA

nmax=40; CoefficientList[Series[Product[1/(1-5*k*x^k), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A006906, A265951, A265974, A265975.

Cf. A246935, A246937.

Sequence in context: A166149 A002737 A241779 * A123008 A038143 A221578

Adjacent sequences:  A265973 A265974 A265975 * A265977 A265978 A265979

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 19 2015

STATUS

approved

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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)