A016872 a(n) = (5n+1)^12.

1, 2176782336, 3138428376721, 281474976710656, 7355827511386641, 95428956661682176, 787662783788549761, 4738381338321616896, 22563490300366186081, 89762301673555234816, 309629344375621415601

Offset

0,2

Links

Table of n, a(n) for n=0..10.

Index entries for linear recurrences with constant coefficients, signature (13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1).

Formula

G.f.: (1/((-1+x)^13))(-1-2176782323*x-3110130206431*x^2- 240845196835205*x^3- 3940827667784970*x^4- 20862213080713758*x^5- 42580224506082654*x^6- 35676286810866378*x^7- 12088615801745445*x^8- 1498318763749055*x^9- 53023637023891*x^10- 282211432673*x^11- 16777216*x^12). - Harvey P. Dale, Aug 26 2021

a(n) = 13*a(n-1) - 78*a(n-2) + 286*a(n-3) - 715*a(n-4) + 1287*a(n-5) - 1716*a(n-6) + 1716*a(n-7) - 1287*a(n-8) + 715*a(n-9) - 286*a(n-10) + 78*a(n-11) - 13*a(n-12) + a(n-13). - Wesley Ivan Hurt, May 24 2024

Mathematica

(5*Range[0, 20]+1)^12 (* or *) LinearRecurrence[{-13, 78, -286, 715, -1287, 1716, -1716, 1287, -715, 286, -78, 13, -1}, {1, 2176782336, 3138428376721, 281474976710656, 7355827511386641, 95428956661682176, 787662783788549761, 4738381338321616896, 22563490300366186081, 89762301673555234816, 309629344375621415601, 951166013805414055936, 2654348974297586158321}, 20] (* Harvey P. Dale, Aug 26 2021 *)

Crossrefs

Sequence in context: A011581 A200526 A015383 * A016920 A017064 A017148

Adjacent sequences: A016869 A016870 A016871 * A016873 A016874 A016875

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved