A365989 Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+4) / (5*k+4) ).

1, 0, 0, 0, 6, 0, 0, 0, 1260, 40320, 0, 0, 1247400, 172972800, 6227020800, 0, 3405402000, 1235025792000, 153848927232000, 6402373705728000, 19799007228000, 14783258730240000, 4243499220280320000, 545332851008225280000, 25852227123135781368000

Offset

0,5

Links

Table of n, a(n) for n=0..24.

Formula

a(0) = 1; a(n) = (n-1)! * Sum_{k=0..floor((n-4)/5)} a(n-5*k-4)/(n-5*k-4)!.

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\5, x^(5*k+4)/(5*k+4)))))

Crossrefs

Cf. A365969, A365972, A365974.

Cf. A365895, A365990.

Sequence in context: A270850 A322379 A225339 * A365990 A354883 A343956

Adjacent sequences: A365986 A365987 A365988 * A365990 A365991 A365992

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2023

Status

approved