A303672 a(n) = [x^n] (5040 / Sum_{k=0..n} (k+7)!*x^k)^(1/4).

1, -2, -8, -60, -600, -7152, -96456, -1430544, -22933920, -393013280, -7144207808, -137001926144, -2760226854816, -58242464679360, -1283886660610560, -29506641823939200, -705788634473952000, -17544801385483584000, -452659831142363014400

Offset: 0

Author

Seiichi Manyama, Apr 28 2018

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..444

Crossrefs

Cf. A077607, A303671, A303673.

Programs

Maple

[seq(coeff(series((factorial(7)/add(factorial(k+7)*x^k,k=0..n))^(1/4), x,30),x,n),n=0..25)]; # Muniru A Asiru, Apr 29 2018

PARI

N=66; x='x+O('x^N); Vec((7!/sum(k=0, N, (k+7)!*x^k))^(1/4))