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A355468 Expansion of Sum_{k>=0} (k^2 * x/(1 - k^2 * x))^k. 2
1, 1, 17, 858, 85988, 14318320, 3570592512, 1245401343760, 578840603221568, 345763649636940672, 258099498410703320960, 235426611021544158413824, 257654470061373320338925568, 333210260028337620911268462592 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = Sum_{k=1..n} k^(2*n) * binomial(n-1,k-1) for n > 0.
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k^2*x/(1-k^2*x))^k))
(PARI) a(n) = if(n==0, 1, sum(k=1, n, k^(2*n)*binomial(n-1, k-1)));
CROSSREFS
Sequence in context: A262634 A173983 A231778 * A281428 A221324 A124235
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 03 2022
STATUS
approved

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)