A017048 a(n) = (7*n + 5)^8.

390625, 429981696, 16983563041, 208827064576, 1406408618241, 6553600000000, 23811286661761, 72301961339136, 191707312997281, 457163239653376, 1001129150390625, 2044140858654976, 3936588805702081

Offset

0,1

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)=390625, a(1)=429981696, a(2)=16983563041, a(3)=208827064576, a(4)=1406408618241, a(5)=6553600000000, a(6)=23811286661761, a(7)=72301961339136, a(8)=191707312997281. - Harvey P. Dale, Oct 03 2012

Mathematica

(7Range[0, 20]+5)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {390625, 429981696, 16983563041, 208827064576, 1406408618241, 6553600000000, 23811286661761, 72301961339136, 191707312997281}, 20] (* Harvey P. Dale, Oct 03 2012 *)

Prog

(Magma) [(7*n+5)^8: n in [0..20] ]; // Vincenzo Librandi, Jul 18 2011

Crossrefs

Sequence in context: A016820 A016856 A016976 * A017132 A017228 A017336

Adjacent sequences: A017045 A017046 A017047 * A017049 A017050 A017051

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved