A017600 a(n) = (12*n + 6)^8.

1679616, 11019960576, 656100000000, 9682651996416, 72301961339136, 360040606269696, 1370114370683136, 4304672100000000, 11716593810022656, 28525864220672256, 63527879748485376, 131532383853732096, 256289062500000000, 474373168346071296, 840221879151902976, 1432529432742502656

Offset

0,1

Links

Paolo Xausa, 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)=1679616, a(1)=11019960576, a(2)=656100000000, a(3)=9682651996416, a(4)=72301961339136, a(5)=360040606269696, a(6)=1370114370683136, a(7)=4304672100000000, a(8)=11716593810022656, 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, Apr 03 2015

Mathematica

(12*Range[0, 20]+6)^8 (* Harvey P. Dale, Apr 03 2015 *)
(* Alternative: *)
LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1679616, 11019960576, 656100000000, 9682651996416, 72301961339136, 360040606269696, 1370114370683136, 4304672100000000, 11716593810022656}, 20] (* Harvey P. Dale, Apr 03 2015 *)

Crossrefs

Sequence in context: A017240 A017348 A017468 * A096372 A127364 A251851

Adjacent sequences: A017597 A017598 A017599 * A017601 A017602 A017603

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved