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A333042 G.f.: exp(Sum_{k>=1} (4*k)!/k!^4 * x^k/k). 2
1, 24, 1548, 155744, 19893054, 2937661200, 477691374152, 83161733788992, 15230338934722749, 2900395347525785464, 569718535329796732476, 114759815105897160007392, 23602808330272138320592494, 4940203531008336735249385488, 1049571237547858314991495867848 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

FORMULA

a(n) ~ c * 4^(4*n)/n^(5/2), where c = 0.14496966...

MATHEMATICA

Table[SeriesCoefficient[E^(Sum[(4*k)!/k!^4*x^k/k, {k, 1, n}]), {x, 0, n}], {n, 0, 20}]

CROSSREFS

Cf. A000108, A229451, A333043.

Sequence in context: A203973 A063885 A019284 * A112389 A187634 A229430

Adjacent sequences:  A333039 A333040 A333041 * A333043 A333044 A333045

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Mar 06 2020

STATUS

approved

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Last modified July 29 15:22 EDT 2021. Contains 346346 sequences. (Running on oeis4.)