A016904 a(n) = (5*n + 4)^8.

65536, 43046721, 1475789056, 16983563041, 110075314176, 500246412961, 1785793904896, 5352009260481, 14048223625216, 33232930569601, 72301961339136, 146830437604321, 281474976710656, 513798374428641

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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)=65536, a(1)=43046721, a(2)=1475789056, a(3)=16983563041, a(4)=110075314176, a(5)=500246412961, a(6)=1785793904896, a(7)=5352009260481, a(8)=14048223625216. - Harvey P. Dale, Jul 29 2015

Mathematica

(5*Range[0, 20]+4)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {65536, 43046721, 1475789056, 16983563041, 110075314176, 500246412961, 1785793904896, 5352009260481, 14048223625216}, 20] (* Harvey P. Dale, Jul 29 2015 *)

Prog

(Magma) [(5*n+4)^8: n in [0..30]]; // Vincenzo Librandi, May 02 2011
(Maxima) A016904(n):=(5*n+4)^8$
makelist(A016904(n), n, 0, 10); /* Martin Ettl, Nov 12 2012 */

Crossrefs

Sequence in context: A016784 A016808 A175924 * A017696 A211199 A010804

Adjacent sequences: A016901 A016902 A016903 * A016905 A016906 A016907

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved