A037596 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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 A370042

Adjacent sequences: A037593 A037594 A037595 * A037597 A037598 A037599

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved