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A293533 E.g.f.: 1/Product_{m > 0, m mod 3 > 0} exp(x^m). 1
1, -1, -1, 5, -23, -41, 1111, -6259, -16015, 828143, -6453809, -23557931, 1516982809, -15821700025, -76745280793, 5613303472349, -73951449390239, -445513157340449, 36776986711862815, -582726291386478427, -4158268555818657079, 388618610293537423799 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 20 13:32 EDT 2022. Contains 353873 sequences. (Running on oeis4.)