A308390 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..11.

PROG

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

CROSSREFS

Row n=5 of A308356.

Cf. A144509.

Sequence in context: A184897 A159673 A009837 * A093256 A177325 A135315

Adjacent sequences: A308387 A308388 A308389 * A308391 A308392 A308393

KEYWORD

sign

AUTHOR

Seiichi Manyama, May 23 2019

STATUS

approved