A037688 Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0,3.

1, 6, 24, 99, 397, 1590, 6360, 25443, 101773, 407094, 1628376, 6513507, 26054029, 104216118, 416864472, 1667457891, 6669831565, 26679326262, 106717305048, 426869220195, 1707476880781, 6829907523126, 27319630092504

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base
• easy

Links

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

Programs

Mathematica

Table[FromDigits[PadRight[{},n,{1,2,0,3}],4],{n,30}] (* Harvey P. Dale, Mar 06 2024 *)

Formula

G.f.: ( x*(1+2*x+3*x^3) ) / ( (x-1)*(4*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 11 2015