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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). 2
1, 0, 3, -692, 25413205, -247578134832564, 1049539393188856278390451, -2871690441592604257533055860715129272, 7040796701370550878156702345258827433898638874681737, -20490586759699718697495728993626502030472234718733294544426997558792280 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
PROG
(PARI) {a(n) = sum(i=0, n^2, (-1)^i*i!*polcoef(sum(j=0, n, x^j/j!)^n, i))}
CROSSREFS
Main diagonal of A308322.
Cf. A274762.
Sequence in context: A361072 A266639 A203496 * A276455 A231604 A306961
KEYWORD
sign
AUTHOR
Seiichi Manyama, May 20 2019
STATUS
approved

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)