A037512 Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1.

2, 6, 19, 59, 177, 532, 1598, 4794, 14383, 43151, 129453, 388360, 1165082, 3495246, 10485739, 31457219, 94371657, 283114972, 849344918, 2548034754, 7644104263, 22932312791, 68796938373, 206390815120, 619172445362

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Links

• Index entries for linear recurrences with constant coefficients, signature (3,0,1,-3).

Programs

Mathematica

Table[FromDigits[PadRight[{},n,{2,0,1}],3],{n,30}] (* or *) LinearRecurrence[{3,0,1,-3},{2,6,19,59},30] (* Harvey P. Dale, Jun 30 2022 *)

Formula

G.f.: x*(2+x^2) / ( (x-1)*(3*x-1)*(1+x+x^2) ). - R. J. Mathar, Nov 21 2011