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A303672
a(n) = [x^n] (5040 / Sum_{k=0..n} (k+7)!*x^k)^(1/4).
3
1, -2, -8, -60, -600, -7152, -96456, -1430544, -22933920, -393013280, -7144207808, -137001926144, -2760226854816, -58242464679360, -1283886660610560, -29506641823939200, -705788634473952000, -17544801385483584000, -452659831142363014400
OFFSET
0,2
LINKS
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
PROG
(PARI) N=66; x='x+O('x^N); Vec((7!/sum(k=0, N, (k+7)!*x^k))^(1/4))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 28 2018
STATUS
approved