A168576 a(n) = (10^n+1)^4.

16, 14641, 104060401, 1004006004001, 10004000600040001, 100004000060000400001, 1000004000006000004000001, 10000004000000600000040000001, 100000004000000060000000400000001

Offset: 0

Author

Jason Earls, Nov 30 2009

Keywords

• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..100
• Index entries for linear recurrences with constant coefficients, signature (11111,-11222110,1122211000,-11111000000,10000000000).

Crossrefs

Cf. A000583, A062397.

Programs

Magma

[(10^n+1)^4: n in [0..10]]; // Vincenzo Librandi, May 26 2016

Mathematica

Table[(10^n + 1)^4, {n, 0, 30}] (* Vincenzo Librandi, May 26 2016 *)
(10^Range[0,20]+1)^4 (* or *) LinearRecurrence[{11111,-11222110,1122211000,-11111000000,10000000000},{16,14641,104060401,1004006004001,10004000600040001},20] (* Harvey P. Dale, Sep 10 2018 *)

PARI

for(n=0,13,print1((10^n+1)^4","))

Formula

G.f. ( -16+163135*x-120938010*x^2+5861575000*x^3-14641000000*x^4 ) / ( (x-1)*(100*x-1)*(1000*x-1)*(10*x-1)*(10000*x-1) ). - R. J. Mathar, Jul 03 2012

a(n) = A000583(A062397(n)). - Michel Marcus, May 26 2016