A017263 a(n) = (9*n + 8)^7.

2097152, 410338673, 8031810176, 64339296875, 319277809664, 1174711139837, 3521614606208, 9095120158391, 20971520000000, 44231334895529, 86812553324672, 160578147647843, 282621973446656, 476837158203125, 775771085481344, 1222791080775407, 1874584905187328

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 (8, -28, 56, -70, 56, -28, 8, -1).

Crossrefs

Cf. A001015 (n^7), A017257 (9*n+8).

Programs

Magma

[(9*n+8)^7: n in [0..20]]; // Vincenzo Librandi, Jul 28 2011

Mathematica

(9*Range[0,20]+8)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{2097152,410338673,8031810176,64339296875,319277809664,1174711139837,3521614606208,9095120158391},30] (* Harvey P. Dale, Apr 06 2013 *)

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)=2097152, a(1)=410338673, a(2)=8031810176, a(3)=64339296875, a(4)=319277809664, a(5)=1174711139837, a(6)=3521614606208, a(7)=9095120158391. - Harvey P. Dale, Apr 06 2013

Extensions

More terms from Harvey P. Dale, Apr 06 2013