A023047 10th differences of factorial numbers.

1334961, 16019531, 206918942, 2864826126, 42351635064, 666166856520, 11113078385520, 196038409800240, 3646938237505920, 71370457471716480, 1465957162768492800, 31537353006189676800, 709233590351909145600, 16643157932371543372800, 406858911634713765427200

Offset

0,1

Links

Table of n, a(n) for n=0..14.

Index entries for sequences related to factorial numbers

Formula

a(n) = (n^10 + 45*n^9 + 915*n^8 + 10950*n^7 + 84693*n^6 + 438963*n^5 + 1531865*n^4 + 3523110*n^3 + 5057331*n^2 + 4036697*n + 1334961)*n!. - Christian Krause, May 05 2026

Mathematica

Differences[Range[0, 25]!, 10] (* Harvey P. Dale, May 25 2011 *)

Prog

(Python)
from math import factorial
def A023047(n): return factorial(n)*(n*(n*(n*(n*(n*(n*(n*(n*(n*(n + 45) + 915) + 10950) + 84693) + 438963) + 1531865) + 3523110) + 5057331) + 4036697) + 1334961) # Chai Wah Wu, May 05 2026

Crossrefs

Cf. A023043, A023044, A023045, A023046.

Sequence in context: A237107 A206620 A214291 * A206254 A157854 A234727

Adjacent sequences: A023044 A023045 A023046 * A023048 A023049 A023050

Keyword

nonn

Author

David W. Wilson

Status

approved