A017144 a(n) = (8*n + 6)^8.

1679616, 1475789056, 54875873536, 656100000000, 4347792138496, 20047612231936, 72301961339136, 218340105584896, 576480100000000, 1370114370683136, 2992179271065856, 6095689385410816, 11716593810022656

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A016844.

Programs

Magma

[(8*n+6)^8: n in [0..20]]; // Vincenzo Librandi, Jul 22 2011

Mathematica

(8*Range[0,20]+6)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{1679616,1475789056,54875873536,656100000000,4347792138496,20047612231936,72301961339136,218340105584896,576480100000000},20] (* Harvey P. Dale, Jul 23 2016 *)

Formula

a(n) = 256*A016844(n). - R. J. Mathar, Aug 26 2015

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)=1679616, a(1)=1475789056, a(2)=54875873536, a(3)=656100000000, a(4)=4347792138496, a(5)=20047612231936, a(6)=72301961339136, a(7)=218340105584896, a(8)=576480100000000. - Harvey P. Dale, Jul 23 2016