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A265976
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Expansion of Product_{k>=1} 1/(1 - 5*k*x^k).
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4
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1, 5, 35, 190, 1070, 5525, 29080, 147485, 752790, 3789170, 19105800, 95794930, 480650335, 2406018490, 12047084370, 60264282575, 301493182380, 1507758356660, 7540528037090, 37705593514220, 188545393000350, 942756783659980, 4713958620697385, 23570092258449540
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ c * 5^n, where c = Product_{m>=2} 1/(1 - m/5^(m-1)) = 1.977268427518901757865749340705853730491796767544158844539130847296...
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MAPLE
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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):
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MATHEMATICA
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nmax=40; CoefficientList[Series[Product[1/(1-5*k*x^k), {k, 1, nmax}], {x, 0, nmax}], x]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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