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A037652 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 3,0,1. 0
3, 30, 301, 3013, 30130, 301301, 3013013, 30130130, 301301301, 3013013013, 30130130130, 301301301301, 3013013013013, 30130130130130, 301301301301301, 3013013013013013 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

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

FORMULA

a(n) = 10*a(n-1) + (1/9)*((n mod 3) + 13*((n+1) mod 3) - 2*((n+2) mod 3)), with a(0)=0. - Paolo P. Lava, Jul 30 2009

G.f.: x*(3+x^2) / ( (x-1)*(10*x-1)*(1+x+x^2) ). - R. J. Mathar, Aug 04 2013

PROG

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

CROSSREFS

Sequence in context: A093138 A073557 A037764 * A037771 A037659 A131586

Adjacent sequences:  A037649 A037650 A037651 * A037653 A037654 A037655

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified December 1 07:59 EST 2021. Contains 349426 sequences. (Running on oeis4.)