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

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

Offset

0,1

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).

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

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 *)

Prog

(PARI) for(n=0, 13, print1((10^n+1)^4", "))
(Magma) [(10^n+1)^4: n in [0..10]]; // Vincenzo Librandi, May 26 2016

Crossrefs

Cf. A000583, A062397.

Sequence in context: A233140 A249968 A017188 * A013831 A214637 A288957

Adjacent sequences: A168573 A168574 A168575 * A168577 A168578 A168579

Keyword

easy,nonn

Author

Jason Earls, Nov 30 2009

Status

approved