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A255969 E.g.f.: 1/Product_{k>=1} (1-x^k)^(x^k). 1
1, 0, 2, 3, 44, 90, 2394, 6720, 202544, 1041768, 27369000, 170418600, 5835999432, 41711464080, 1489935696144, 14980499777880, 519279726915840, 5837621201012160, 232228922844775104, 2946339663605953920, 122979308145781345920, 1869847203939341074560 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..440

Vaclav Kotesovec, Asymptotics of sequence A034691

FORMULA

log(a(n)) ~ 2*sqrt(n).

MATHEMATICA

nmax=20; CoefficientList[Series[Product[1/(1-x^k)^(x^k), {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]!

nmax=20; CoefficientList[Series[Exp[Sum[1/(k*(1/x^(k+1)-1)), {k, 1, nmax}]], {x, 0, nmax}], x] * Range[0, nmax]!

CROSSREFS

Cf. A034691, A034899.

Sequence in context: A317672 A042819 A218002 * A239850 A100443 A323619

Adjacent sequences:  A255966 A255967 A255968 * A255970 A255971 A255972

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Mar 12 2015

STATUS

approved

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Last modified August 25 05:19 EDT 2019. Contains 326318 sequences. (Running on oeis4.)