A134359 Coefficient of y^(n-4) in expansion of (y+n!)^n.

331776, 1036800000, 4031078400000, 22583444889600000, 185003580535603200000, 2184855285409366671360000, 36414254756822777856000000000, 837793163263009313783808000000000, 26058718550132641695931564032000000000, 1075046642959377659245279800459264000000000

Offset

4,1

Links

Table of n, a(n) for n=4..13.

Formula

a(n) = (n!)^m/m! * Product_{k=0..m-1} (n-k), here with m=4. - Georg Fischer, Feb 11 2026

Mathematica

a = {}; Do[k = CoefficientList[Expand[(y + n!)^n], y]; AppendTo[a, k[[Length[k] - 4]]], {n, 4, 50}]; a

Crossrefs

Cf. A001563 (m=1), A131092 (m=2), A134358 (m=3).

Sequence in context: A259004 A256902 A244044 * A013913 A258897 A386968

Adjacent sequences: A134356 A134357 A134358 * A134360 A134361 A134362

Keyword

nonn,easy

Author

Artur Jasinski, Oct 22 2007

Extensions

a(12)-a(13) from Georg Fischer, Feb 11 2026

Status

approved