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A365974 Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+3) / (5*k+3) ). 3
1, 0, 0, 2, 0, 0, 40, 0, 5040, 2240, 0, 1663200, 246400, 479001600, 605404800, 44844800, 699941088000, 274450176000, 355699625881600, 836634972096000, 156436600320000, 1437392253237248000, 1021561084051200000, 1124111547465274368000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
a(0) = 1; a(n) = (n-1)! * Sum_{k=0..floor((n-3)/5)} a(n-5*k-3)/(n-5*k-3)!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\5, x^(5*k+3)/(5*k+3)))))
CROSSREFS
Cf. A365982.
Sequence in context: A229685 A230469 A004076 * A013369 A013416 A365973
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 23 2023
STATUS
approved

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Last modified June 13 15:51 EDT 2024. Contains 373389 sequences. (Running on oeis4.)