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A365915 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(2*k+5) / (2*k+5)! ). 3
1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 252, 1, 1584, 1, 7436, 756757, 31616, 14702689, 129404, 189559657, 11733266992, 2062481617, 516242875084, 20611819933, 14135172627712, 623557476714481, 312148517693820, 52096977907924561, 6121122865591920 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,11
LINKS
FORMULA
a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/2)} binomial(n,2*k+5) * a(n-2*k-5).
E.g.f.: 1 / ( 1 + x + x^3/6 - sinh(x) ).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x+x^3/6-sinh(x))))
CROSSREFS
Cf. A365896.
Sequence in context: A365916 A177809 A367577 * A113899 A045182 A330616
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Sep 23 2023
STATUS
approved

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Last modified July 19 01:31 EDT 2024. Contains 374388 sequences. (Running on oeis4.)