A308323 a(n) = Sum_{i_1=0..n} Sum_{i_2=0..n} ... Sum_{i_n=0..n} (-1)^(i_1 + i_2 + ... + i_n) * multinomial(i_1 + i_2 + ... + i_n; i_1, i_2, ..., i_n).

1, 0, 3, -692, 25413205, -247578134832564, 1049539393188856278390451, -2871690441592604257533055860715129272, 7040796701370550878156702345258827433898638874681737, -20490586759699718697495728993626502030472234718733294544426997558792280

Offset: 0

Author

Seiichi Manyama, May 20 2019

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..26

Crossrefs

Main diagonal of A308322.

Cf. A274762.

Programs

PARI

{a(n) = sum(i=0, n^2, (-1)^i*i!*polcoef(sum(j=0, n, x^j/j!)^n, i))}