A037653 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2.

3, 12, 50, 203, 812, 3250, 13003, 52012, 208050, 832203, 3328812, 13315250, 53261003, 213044012, 852176050, 3408704203, 13634816812, 54539267250, 218157069003, 872628276012, 3490513104050, 13962052416203, 55848209664812

Offset

1,1

Links

Table of n, a(n) for n=1..23.

Index entries for linear recurrences with constant coefficients, signature (4,0,1,-4).

Formula

G.f.: x*(3+2*x^2) / ( (x-1)*(4*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 30 2015

Mathematica

nn=30; With[{c=PadRight[{}, nn, {3, 0, 2}]}, Table[FromDigits[Take[c, n], 4], {n, nn}]] (* Harvey P. Dale, Oct 19 2012 *)

Crossrefs

Sequence in context: A180879 A180283 A037765 * A229665 A092443 A356280

Adjacent sequences: A037650 A037651 A037652 * A037654 A037655 A037656

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved