A037514 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1.

2, 10, 51, 257, 1285, 6426, 32132, 160660, 803301, 4016507, 20082535, 100412676, 502063382, 2510316910, 12551584551, 62757922757, 313789613785, 1568948068926, 7844740344632, 39223701723160, 196118508615801, 980592543079007

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,0,1,-5).

Formula

G.f.: x*(2+x^2) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - R. J. Mathar, Nov 21 2011

a(n) = 5*a(n-1)+a(n-3)-5*a(n-4). - Vincenzo Librandi, May 31 2013

Mathematica

CoefficientList[Series[(2 + x^2) / ((x - 1) (5 x - 1) (1 + x + x^2)), {x, 0, 30}], x] (* Vincenzo Librandi, May 31 2013 *)

Prog

(Magma) I:=[2, 10, 51, 257]; [n le 4 select I[n] else 5*Self(n-1)+Self(n-3)-5*Self(n-4): n in [1..30]]; // Vincenzo Librandi, May 31 2013

Crossrefs

Sequence in context: A306336 A074140 A128449 * A037717 A019476 A019475

Adjacent sequences: A037511 A037512 A037513 * A037515 A037516 A037517

Keyword

nonn,base

Author

Clark Kimberling

Status

approved