A017130 a(n) = (8*n + 5)^6.

15625, 4826809, 85766121, 594823321, 2565726409, 8303765625, 22164361129, 51520374361, 107918163081, 208422380089, 377149515625, 646990183449, 1061520150601, 1677100110841, 2565164201769

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7); a(0)=15625, a(1)=4826809, a(2)=85766121, a(3)=594823321, a(4)=2565726409, a(5)=8303765625, a(6)=22164361129. - Harvey P. Dale, Oct 05 2011

G.f.: ( -15625 - 4717434*x - 52306583*x^2 - 95276588*x^3 - 34660263*x^4 - 1766458*x^5 - 729*x^6 ) / ( (x-1)^7 ). - R. J. Mathar, May 08 2015

Mathematica

(8Range[0, 15]+5)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {15625, 4826809, 85766121, 594823321, 2565726409, 8303765625, 22164361129}, 16](* Harvey P. Dale, Oct 05 2011 *)

Prog

(Magma) [(8*n+5)^6: n in [0..25] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Sequence in context: A016854 A016974 A017046 * A303155 A017226 A223232

Adjacent sequences: A017127 A017128 A017129 * A017131 A017132 A017133

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved