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A322514
a(n) = [x^(n^2)] (Sum_{k=0..2*n} (k+1)*x^k)^n.
0
1, 2, 35, 1624, 169653, 30961656, 8792309747, 3592089777760, 1998565555891049, 1454040182726241040, 1340732073013968993771, 1528443066775450331625912, 2111332024387378632991315275, 3475577885419591506890414078832
OFFSET
0,2
MATHEMATICA
f[n_] := Coefficient[Expand[Sum[(k+1)*x^k , {k, 0, 2n}]^n, x], x, n^2]; Array[f, 15, 0] (* Amiram Eldar, Dec 13 2018 *)
PROG
(PARI) {a(n) = polcoeff((sum(k=0, 2*n, (k+1)*x^k))^n, n^2, x)}
CROSSREFS
Sequence in context: A245052 A266316 A110697 * A132100 A327129 A291809
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Dec 13 2018
STATUS
approved