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A349891 a(n) = Sum_{k=0..n} (-1)^(n-k) * k^(k*n). 3
1, 0, 16, 19619, 4294436111, 298022124379673232, 10314423867168242405282727694, 256923577039829077600620024397823949901879, 6277101735175093150055816289268196664555481440709896684157 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..8.

FORMULA

G.f.: Sum_{k>=0} k^(k^2) * x^k/(1 + k^k * x).

a(n) ~ n^(n^2). - Vaclav Kotesovec, Dec 10 2021

PROG

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

(PARI) my(N=10, x='x+O('x^N)); Vec(sum(k=0, N, k^k^2*x^k/(1+k^k*x)))

CROSSREFS

Cf. A120485, A349886, A349889.

Sequence in context: A288957 A159387 A283720 * A098175 A089232 A300615

Adjacent sequences:  A349888 A349889 A349890 * A349892 A349893 A349894

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Dec 04 2021

STATUS

approved

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Last modified August 10 04:27 EDT 2022. Contains 356029 sequences. (Running on oeis4.)