A037695 Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3,0.

1, 6, 27, 108, 433, 1734, 6939, 27756, 111025, 444102, 1776411, 7105644, 28422577, 113690310, 454761243, 1819044972, 7276179889, 29104719558, 116418878235, 465675512940, 1862702051761, 7450808207046, 29803232828187

Offset

1,2

Links

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

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

Formula

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

Mathematica

nn=30; With[{dgs=PadRight[{}, nn, {1, 2, 3, 0}]}, Table[FromDigits[ Take[ dgs, n], 4], {n, nn}]] (* Harvey P. Dale, Jun 13 2013 *)

Crossrefs

Sequence in context: A220529 A027471 A305780 * A318638 A094829 A055145

Adjacent sequences: A037692 A037693 A037694 * A037696 A037697 A037698

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved