A017659 a(n) = (12n+11)^7.

19487171, 3404825447, 64339296875, 506623120463, 2488651484819, 9095120158391, 27136050989627, 69833729609375, 160578147647843, 337931541778439, 662062621900811, 1222791080775407, 2149422977421875

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Cf. A001015, A017653.

Programs

Magma

[(12*n+11)^7: n in [0..15]]; // Vincenzo Librandi, May 21 2012

Mathematica

(12Range[0,20]+11)^7 (* Harvey P. Dale, May 16 2012 *)
LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{19487171,3404825447,64339296875,506623120463,2488651484819,9095120158391,27136050989627,69833729609375},20] (* Harvey P. Dale, May 16 2012 *)

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). - Harvey P. Dale, May 16 2012

a(n) = A001015(A017653(n)). - Michel Marcus, Oct 29 2022