A017084 a(n) = (8*n + 1)^8.

1, 43046721, 6975757441, 152587890625, 1406408618241, 7984925229121, 33232930569601, 111429157112001, 318644812890625, 806460091894081, 1853020188851841, 3936588805702081, 7837433594376961, 14774554437890625

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

Formula

a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9); a(0)=1, a(1)=43046721, a(2)=6975757441, a(3)=152587890625, a(4)=1406408618241, a(5)=7984925229121, a(6)=33232930569601, a(7)=111429157112001, a(8)=318644812890625. - Harvey P. Dale, Feb 26 2012

Mathematica

(8Range[0, 20]+1)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 43046721, 6975757441, 152587890625, 1406408618241, 7984925229121, 33232930569601, 111429157112001, 318644812890625}, 20] (* Harvey P. Dale, Feb 26 2012 *)

Prog

(Magma) [(8*n+1)^8: n in [0..20]]; // Vincenzo Librandi, Jul 11 2011

Crossrefs

Sequence in context: A186580 A186589 A186581 * A017168 A017384 A017504

Adjacent sequences: A017081 A017082 A017083 * A017085 A017086 A017087

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved