A023046 9th differences of factorial numbers.

133496, 1468457, 17487988, 224406930, 3089233056, 45440868120, 711607724640, 11824686110160, 207863095910400, 3854801333416320, 75225258805132800, 1541182421573625600, 33078535427763302400, 742312125779672448000, 17385470058151215820800, 424244381692864981248000

Offset

0,1

Links

Table of n, a(n) for n=0..15.

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

Index entries for sequences related to factorial numbers

Formula

a(n) = (n^9 + 36*n^8 + 582*n^7 + 5460*n^6 + 32403*n^5 + 124908*n^4 + 309602*n^3 + 470328*n^2 + 391641*n + 133496)*n!. - Christian Krause, May 04 2026

Mathematica

Differences[Range[0, 30]!, 9] (* Harvey P. Dale, Dec 19 2021 *)

Crossrefs

Sequence in context: A015407 A204536 A061732 * A034213 A226112 A244211

Adjacent sequences: A023043 A023044 A023045 * A023047 A023048 A023049

Keyword

nonn

Author

David W. Wilson

Status

approved