A037680 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,0,2,3.

1, 10, 102, 1023, 10231, 102310, 1023102, 10231023, 102310231, 1023102310, 10231023102, 102310231023, 1023102310231, 10231023102310, 102310231023102, 1023102310231023

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-x+3*x^2) / ( (x-1)*(10*x-1)*(x^2+1) ). - R. J. Mathar, Aug 12 2013

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 0, 2, 3}]], {n, 20}] (* Harvey P. Dale, Sep 26 2021 *)

Prog

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

Crossrefs

Sequence in context: A078282 A336401 A037503 * A038378 A158242 A147636

Adjacent sequences: A037677 A037678 A037679 * A037681 A037682 A037683

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved