A017227 a(n) = (9*n + 5)^7.

78125, 105413504, 3404825447, 34359738368, 194754273881, 781250000000, 2488651484819, 6722988818432, 16048523266853, 34792782221696, 69833729609375, 131593177923584, 235260548044817, 402271083010688

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).

Formula

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8); a(0)=78125, a(1)=105413504, a(2)=3404825447, a(3)=34359738368, a(4)=194754273881, a(5)=781250000000, a(6)=2488651484819, a(7)=6722988818432. - Harvey P. Dale, Apr 13 2014

Mathematica

(9*Range[0, 20]+5)^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {78125, 105413504, 3404825447, 34359738368, 194754273881, 781250000000, 2488651484819, 6722988818432}, 20] (* Harvey P. Dale, Apr 13 2014 *)

Prog

(Magma) [(9*n+5)^7: n in [0..20]]; // Vincenzo Librandi, Jul 24 2011

Crossrefs

Sequence in context: A016975 A017047 A017131 * A265935 A017335 A017455

Adjacent sequences: A017224 A017225 A017226 * A017228 A017229 A017230

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved