A017000 a(n) = (7*n + 1)^8.

1, 16777216, 2562890625, 54875873536, 500246412961, 2821109907456, 11688200277601, 39062500000000, 111429157112001, 281474976710656, 645753531245761, 1370114370683136, 2724905250390625, 5132188731375616

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(0)=1, a(1)=16777216, a(2)=2562890625, a(3)=54875873536, a(4)=500246412961, a(5)=2821109907456, a(6)=11688200277601, a(7)=39062500000000, a(8)=111429157112001, 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). - Harvey P. Dale, Mar 30 2012

a(n) = 1679616 - 15676416*n + 64012032*n^2 - 149361408*n^3 + 217818720*n^4 - 203297472*n^5 + 118590192*n^6 - 39530064*n^7 + 5764801*n^8. - Harvey P. Dale, Mar 30 2012

Mathematica

(7*Range[0, 30]+1)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 16777216, 2562890625, 54875873536, 500246412961, 2821109907456, 11688200277601, 39062500000000, 111429157112001}, 30] (* Harvey P. Dale, Mar 30 2012 *)

Prog

(Magma) [(7*n+1)^8: n in [0..20]]; // Vincenzo Librandi, Jul 13 2011

Crossrefs

Sequence in context: A067494 A177081 A217784 * A017072 A017264 A017372

Adjacent sequences: A016997 A016998 A016999 * A017001 A017002 A017003

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved