A023044 7th differences of factorial numbers.

1854, 16687, 165016, 1781802, 20886576, 264398280, 3597143040, 52370755920, 812752093440, 13397819541120, 233845982899200, 4309095479673600, 83609603781580800, 1704092533657113600, 36403110891295948800, 813414255028607232000, 18975895457317134336000, 461382758352470642688000

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..400

Milan Janjić, Enumerative Formulas for Some Functions on Finite Sets.

Index entries for sequences related to factorial numbers.

Formula

a(n) = (n^7 + 21*n^6 + 196*n^5 + 1015*n^4 + 3094*n^3 + 5453*n^2 + 5053*n + 1854)*n!. - Christian Krause, May 04 2026

Mathematica

Differences[Range[0, 25]!, 7] (* Paolo Xausa, May 26 2025 *)

Crossrefs

Cf. A000142, A001563, A001564, A001565, A001688, A001689, A023043, A023045, A023046, A023047.

Sequence in context: A303272 A128289 A391166 * A243236 A051355 A064978

Adjacent sequences: A023041 A023042 A023043 * A023045 A023046 A023047

Keyword

nonn

Author

David W. Wilson

Status

approved