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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, -1, 56, -52556, 197741887, -2063348839223, 48406314676155689, -2224972937386763396470, 181775891472021264149048031, -24546223741277444828277125708238, 5178698199109137849496232609026642706, -1632057854975794517762778147823325297971400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS 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

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Last modified September 25 15:21 EDT 2021. Contains 347657 sequences. (Running on oeis4.)