A037779 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,2,0.

3, 13, 54, 216, 867, 3469, 13878, 55512, 222051, 888205, 3552822, 14211288, 56845155, 227380621, 909522486, 3638089944, 14552359779, 58209439117, 232837756470, 931351025880, 3725404103523, 14901616414093, 59606465656374

Offset

1,1

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*(3+x+2*x^2) / ( (x-1)*(4*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, May 01 2015

Mathematica

With[{c=PadRight[{}, 32, {3, 1, 2, 0}]}, Table[FromDigits[Take[c, n], 4], {n, 30}]] (* Harvey P. Dale, Feb 25 2012 *)

Crossrefs

Sequence in context: A377082 A180933 A048514 * A323264 A362495 A305655

Adjacent sequences: A037776 A037777 A037778 * A037780 A037781 A037782

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved