A037758 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1,2.

3, 12, 49, 198, 795, 3180, 12721, 50886, 203547, 814188, 3256753, 13027014, 52108059, 208432236, 833728945, 3334915782, 13339663131, 53358652524, 213434610097, 853738440390, 3414953761563, 13659815046252, 54639260185009

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+2*x^3) / ( (x-1)*(4*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, May 04 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {3, 0, 1, 2}], 4], {n, 30}] (* or *) LinearRecurrence[{4, 0, 0, 1, -4}, {3, 12, 49, 198, 795}, 30] (* Harvey P. Dale, May 05 2022 *)

Crossrefs

Sequence in context: A323263 A344136 A248347 * A037646 A012772 A012864

Adjacent sequences: A037755 A037756 A037757 * A037759 A037760 A037761

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved