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A337551 Diagonal of A304320. 2
1, 1, 5, 2317, 153143499, 2331601789103231, 13956629370284243750857868, 50423205212193924706520234988903231406, 154976268837151170420647979803561273009994277188269267, 540838714291102105296873678266047207577891369813629960678503735540658879 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..26

FORMULA

a(n) ~ n^(n^2) / n!.

a(n) ~ exp(n) * n^(n^2 - n - 1/2) / sqrt(2*Pi).

PROG

(PARI) {T(n, k) = my(A=[1], m); for(i=1, k, A=concat(A, 0); m=#A; A[m] = Vec( exp(x*(m-1)^n +x*O(x^m)) / Ser(A) )[m] ); A[k+1]}

for(n=0, 10, print1(T(n, n), ", ")) \\ after Paul D. Hanna

CROSSREFS

Cf. A304320.

Sequence in context: A172942 A067944 A260843 * A326356 A200916 A114716

Adjacent sequences:  A337548 A337549 A337550 * A337552 A337553 A337554

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Aug 31 2020

STATUS

approved

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Last modified March 5 11:27 EST 2021. Contains 341823 sequences. (Running on oeis4.)