A023045 8th differences of factorial numbers.

14833, 148329, 1616786, 19104774, 243511704, 3332744760, 48773612880, 760381337520, 12585067447680, 220448163358080, 4075249496774400, 79300508301907200, 1620482929875532800, 34699018357638835200, 777011144137311283200, 18162481202288527104000

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^8 + 28*n^7 + 350*n^6 + 2492*n^5 + 10899*n^4 + 29596*n^3 + 48082*n^2 + 42048*n + 14833)*n!. - Christian Krause, May 04 2026

Mathematica

Differences[Range[0, 30]!, 8] (* Harvey P. Dale, Oct 29 2012 *)

Crossrefs

Sequence in context: A234766 A177412 A209947 * A186901 A185486 A031815

Adjacent sequences: A023042 A023043 A023044 * A023046 A023047 A023048

Keyword

nonn

Author

David W. Wilson

Status

approved