A037715 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,3,2,0.

1, 13, 132, 1320, 13201, 132013, 1320132, 13201320, 132013201, 1320132013, 13201320132, 132013201320, 1320132013201, 13201320132013, 132013201320132, 1320132013201320

Offset

1,2

Links

Table of n, a(n) for n=1..16.

Index entries for linear recurrences with constant coefficients, signature (11,-11,11,-10).

Formula

G.f.: x*(1+2*x) / ( (x-1)*(10*x-1)*(x^2+1) ). - R. J. Mathar, Aug 04 2013

a(n) = 11*a(n-1) - 11*a(n-2) + 11*a(n-3) - 10*a(n-4). - Wesley Ivan Hurt, Sep 06 2022

Prog

(PARI) Vec(x*(1+2*x)/((x-1)*(10*x-1)*(x^2+1)) + O(x^25)) \\ Jinyuan Wang, Apr 14 2020

Crossrefs

Sequence in context: A293580 A295349 A161498 * A037617 A295603 A199144

Adjacent sequences: A037712 A037713 A037714 * A037716 A037717 A037718

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved