A293533 E.g.f.: 1/Product_{m > 0, m mod 3 > 0} exp(x^m).

1, -1, -1, 5, -23, -41, 1111, -6259, -16015, 828143, -6453809, -23557931, 1516982809, -15821700025, -76745280793, 5613303472349, -73951449390239, -445513157340449, 36776986711862815, -582726291386478427, -4158268555818657079, 388618610293537423799

Offset

0,4

Links

Table of n, a(n) for n=0..21.

Formula

E.g.f.: exp((x + x^2)/(x^3 - 1)).

Mathematica

CoefficientList[Series[E^(x*(1 + x)/(x^3 - 1)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Oct 12 2017 *)

Prog

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp((x+x^2)/(x^3-1))))
(PARI) N=66; x='x+O('x^N); Vec(serlaplace(prod(m=1, N, exp(x^(3*m))/exp(x^m))))

Crossrefs

Column k=3 of A293530.

Sequence in context: A243401 A062341 A176251 * A121308 A222088 A146467

Adjacent sequences: A293530 A293531 A293532 * A293534 A293535 A293536

Keyword

sign

Author

Seiichi Manyama, Oct 11 2017

Status

approved