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A349894 a(n) = Sum_{k=0..n} (-1)^(n-k) * k^(k*(n-k)). 2
1, 0, 1, -3, -10, 410, 42985, -6527829, -24060996846, -6613442955828, 3882375189467092921, 235121650953066124724477, -289337164954511885810252000250, -995208334663809003504695464745010282, 13325880481925983143500510271865447222057073 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..52

FORMULA

G.f.: Sum_{k>=0} x^k/(1 + k^k * x).

PROG

(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*k^(k*(n-k)));

(PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, x^k/(1+k^k*x)))

CROSSREFS

Cf. A349856, A349857, A349858, A349891, A349893.

Sequence in context: A156193 A119035 A004100 * A103156 A202712 A006273

Adjacent sequences:  A349891 A349892 A349893 * A349895 A349896 A349897

KEYWORD

sign

AUTHOR

Seiichi Manyama, Dec 04 2021

STATUS

approved

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Last modified September 28 11:24 EDT 2022. Contains 357070 sequences. (Running on oeis4.)