A037503 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,0,2.

1, 10, 102, 1021, 10210, 102102, 1021021, 10210210, 102102102, 1021021021, 10210210210, 102102102102, 1021021021021, 10210210210210, 102102102102102, 1021021021021021

Offset

1,2

Links

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

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

Formula

G.f.: x*(1+2*x^2) / ( (x-1)*(10*x-1)*(1+x+x^2) ). - R. J. Mathar, Aug 12 2013

a(n) = 10*a(n-1) + a(n-3) - 10*a(n-4). - Wesley Ivan Hurt, Sep 22 2020

Prog

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

Crossrefs

Other bases: A037496, A037497, A037498, A037499, A037500, A037501, A037502.

Sequence in context: A214437 A078282 A336401 * A037680 A038378 A158242

Adjacent sequences: A037500 A037501 A037502 * A037504 A037505 A037506

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved