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A308389 a(n) = (1/n!) * Sum_{i_1=1..4} Sum_{i_2=1..4} ... Sum_{i_n=1..4} (-1)^(i_1 + i_2 + ... + i_n) * multinomial(i_1 + i_2 + ... + i_n; i_1, i_2, ..., i_n). 1
1, 0, 15, 2380, 1056496, 1006985994, 1762986495425, 5113595093793395, 22839265373518360690, 148735602883834110187329, 1353820891564948063221216616, 16652183007514287292261315076600, 269267286009015985660399792630965620, 5594310615550213586375706097295466365365 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
PROG
(PARI) {a(n) = sum(i=n, 4*n, (-1)^i*i!*polcoef(sum(j=1, 4, x^j/j!)^n, i))/n!}
CROSSREFS
Row n=4 of A308356.
Cf. A144508.
Sequence in context: A229844 A208171 A266571 * A278410 A211902 A200797
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 23 2019
STATUS
approved

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Last modified March 28 13:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)