A083307 a(n) = (4*n^n + (n-10)^n)/5.

1, -1, 16, -47, 464, 1875, 38144, 658397, 13421824, 309936391, 8000000000, 228249336489, 7132880359424, 242300085592667, 8889605514133504, 350315118408203125, 14757395823189622784, 661792256035172208783, 31477130063116931956736, 1582735994698594405897601

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Formula

a(n) ~ ((4*e+1/e^10)/5) * n^n. - Amiram Eldar, Jan 16 2026

Mathematica

a[n_] := (4*n^n + (n-10)^n)/5; a[0] = 1; Array[a, 20, 0] (* Amiram Eldar, Jan 16 2026 *)

Prog

(Magma) [(4*n^n+(n-10)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011
(PARI) a(n)=(4*n^n+(n-10)^n)/5 \\ Charles R Greathouse IV, Jun 29 2011

Crossrefs

Cf. A083308.

Sequence in context: A233063 A208634 A333602 * A235765 A235548 A223440

Adjacent sequences: A083304 A083305 A083306 * A083308 A083309 A083310

Keyword

easy,sign

Author

Paul Barry, Apr 24 2003

Status

approved