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A308325
a(n) = Sum_{i=0..n} Sum_{j=0..n} Sum_{k=0..n} Sum_{l=0..n} Sum_{m=0..n} (-1)^(i+j+k+l+m) * (i+j+k+l+m)!/(i!*j!*k!*l!*m!).
1
1, -44, 44121, -66211704, 120965241901, -247578134832564, 545591130328772081, -1266424080449896533104, 3054976120222919562674421, -7591388058951771019224668844, 19313872514817534830089536344041, -50089152258417936550358713847686344
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OFFSET
0,2
LINKS
Table of n, a(n) for n=0..11.
PROG
(PARI) {a(n) = sum(i=0, 5*n, (-1)^i*i!*polcoef(sum(j=0, n, x^j/j!)^5, i))}
(PARI) {a(n) = sum(i=0, n, sum(j=0, n, sum(k=0, n, sum(l=0, n, sum(m=0, n, (-1)^(i+j+k+l+m)*(i+j+k+l+m)!/(i!*j!*k!*l!*m!))))))}
CROSSREFS
Column k=5 of
A308322
.
Sequence in context:
A119096
A131484
A365646
*
A305997
A277840
A172828
Adjacent sequences:
A308322
A308323
A308324
*
A308326
A308327
A308328
KEYWORD
sign
AUTHOR
Seiichi Manyama
, May 20 2019
STATUS
approved
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Last modified April 19 06:44 EDT 2024. Contains 371782 sequences. (Running on oeis4.)