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A298851 a(n) = [x^n] Product_{k=1..n} 1/(1-k^2*x). 3
1, 1, 21, 1408, 196053, 46587905, 16875270660, 8657594647800, 5974284925007685, 5336898188553325075, 5992171630749371157181, 8260051854943114812198756, 13714895317396748230146099660, 26998129079190909699998105620908 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

FORMULA

a(n) ~ c * d^n * n^(2*n - 1/2), where d = 1.774513671664430848697327843228386312953174421074432567764556466987... and c = 0.617929515483613293691991371141292259390065108300160936187723552669... - Vaclav Kotesovec, Feb 02 2018

MATHEMATICA

Table[SeriesCoefficient[Product[1/(1 - k^2*x), {k, 1, n}], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Feb 02 2018 *)

CROSSREFS

Cf. A001044.

Cf. A007820, A299035, A299036.

Sequence in context: A281432 A231782 A221733 * A118446 A130332 A035319

Adjacent sequences:  A298848 A298849 A298850 * A298852 A298853 A298854

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 01 2018

STATUS

approved

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Last modified October 17 18:58 EDT 2019. Contains 328127 sequences. (Running on oeis4.)