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A370696
Expansion of e.g.f. exp(x^3)/(1-x).
1
1, 1, 2, 12, 48, 240, 1800, 12600, 100800, 967680, 9676800, 106444800, 1297296000, 16864848000, 236107872000, 3552515366400, 56840245862400, 966284179660800, 17402007419596800, 330638140972339200, 6612762819446784000, 138878156300083200000
OFFSET
0,3
FORMULA
a(n) = n! * Sum_{k=0..floor(n/3)} 1/k!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x^3)/(1-x)))
(PARI) a(n) = n!*sum(k=0, n\3, 1/k!);
CROSSREFS
Cf. A130906.
Sequence in context: A347324 A333728 A354131 * A052569 A221663 A232663
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Feb 27 2024
STATUS
approved