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, -44, 44121, -66211704, 120965241901, -247578134832564, 545591130328772081, -1266424080449896533104, 3054976120222919562674421, -7591388058951771019224668844, 19313872514817534830089536344041, -50089152258417936550358713847686344

Offset: 0

Author

Seiichi Manyama, May 20 2019

Keywords

• sign

Crossrefs

Column k=5 of A308322.

Programs

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!))))))}