A083308 a(n) = (4*(n+1)^n + (n-9)^n)/5.

1, 0, 17, 8, 625, 6016, 94265, 1677696, 34437377, 800000000, 20749939681, 594406696960, 18638468204273, 634971832025088, 23354342041015625, 922337297722474496, 38928960147119608705, 1748729698150919962624, 83301910257256052626097, 4194306000000000000000000

Offset

0,3

Links

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

Formula

a(n) ~ ((4*e+1/e^9)/5) * n^n. - Amiram Eldar, Jan 16 2026

Mathematica

a[n_] := (4*(n+1)^n + (n-9)^n)/5; a[0] = 1; Array[a, 20, 0] (* Amiram Eldar, Jan 16 2026 *)

Prog

(Magma) [(4*(n+1)^n+(n-9)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011
(PARI) a(n)= (4*(n+1)^n+(n-9)^n)/5 \\ Charles R Greathouse IV, Jun 29 2011

Crossrefs

Cf. A083307.

Sequence in context: A355237 A033337 A122063 * A113779 A061049 A348762

Adjacent sequences: A083305 A083306 A083307 * A083309 A083310 A083311

Keyword

easy,nonn

Author

Paul Barry, Apr 24 2003

Status

approved