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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

Table of n, a(n) for n=0..13.

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

Adjacent sequences:  A308386 A308387 A308388 * A308390 A308391 A308392

KEYWORD

nonn

AUTHOR

Seiichi Manyama, May 23 2019

STATUS

approved

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Last modified September 20 11:50 EDT 2021. Contains 347586 sequences. (Running on oeis4.)