A037596 Numbers written in base 4 whose digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3.

1, 10, 103, 1031, 10310, 103103, 1031031, 10310310, 103103103, 1031031031, 10310310310, 103103103103, 1031031031031, 10310310310310, 103103103103103, 1031031031031031

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+3*x^2) / ( (x-1)*(10*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

Mathematica

With[{c=PadRight[{}, 21, {1, 0, 3}]}, Table[FromDigits[Take[c, n]], {n, 20}]] (* Harvey P. Dale, Dec 29 2011 *)

Crossrefs

Sequence in context: A331475 A158240 A087393 * A037687 A015588 A162667

Adjacent sequences: A037593 A037594 A037595 * A037597 A037598 A037599

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved