A308390 a(n) = (1/n!) * Sum_{i_1=1..5} Sum_{i_2=1..5} ... Sum_{i_n=1..5} (-1)^(i_1 + i_2 + ... + i_n) * multinomial(i_1 + i_2 + ... + i_n; i_1, i_2, ..., i_n).

1, -1, 56, -52556, 197741887, -2063348839223, 48406314676155689, -2224972937386763396470, 181775891472021264149048031, -24546223741277444828277125708238, 5178698199109137849496232609026642706, -1632057854975794517762778147823325297971400

Offset: 0

Author

Seiichi Manyama, May 23 2019

Keywords

• sign

Crossrefs

Row n=5 of A308356.

Cf. A144509.

Programs

PARI

{a(n) = sum(i=n, 5*n, (-1)^i*i!*polcoef(sum(j=1, 5, x^j/j!)^n, i))/n!}