A037736 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,1,0,3.

2, 21, 210, 2103, 21032, 210321, 2103210, 21032103, 210321032, 2103210321, 21032103210, 210321032103, 2103210321032, 21032103210321, 210321032103210, 2103210321032103

Offset

1,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (10,0,0,1,-10).

Formula

a(n) = 10*a(n-1) + a(n-4) - 10*a(n-5). G.f: x*(2+x+3*x^3) / ((x-1)*(10*x-1)*(1+x)*(1+x^2)). - R. J. Mathar, Oct 05 2009

Prog

(PARI) Vec(x*(2+x+3*x^3)/((x-1)*(10*x-1)*(1+x)*(1+x^2)) + O(x^25)) \\ Jinyuan Wang, Apr 14 2020

Crossrefs

Sequence in context: A303500 A037527 A131584 * A328073 A329318 A037559

Adjacent sequences: A037733 A037734 A037735 * A037737 A037738 A037739

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved