A037778 - OEIS

A037778

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

3, 31, 310, 3102, 31023, 310231, 3102310, 31023102, 310231023, 3102310231, 31023102310, 310231023102, 3102310231023, 31023102310231, 310231023102310, 3102310231023102, 31023102310231023, 310231023102310231, 3102310231023102310, 31023102310231023102

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..20.

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

FORMULA

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

MATHEMATICA

nn=20; With[{c=PadRight[{}, nn, {3, 1, 0, 2}]}, Table[FromDigits[Take[c, n]], {n, nn}]] (* Harvey P. Dale, May 26 2012 *)

PROG

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

CROSSREFS

Sequence in context: A222094 A069589 A222090 * A037666 A065837 A100894

Adjacent sequences: A037775 A037776 A037777 * A037779 A037780 A037781

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Harvey P. Dale, May 26 2012

STATUS

approved