A037772 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0,2.

3, 13, 52, 210, 843, 3373, 13492, 53970, 215883, 863533, 3454132, 13816530, 55266123, 221064493, 884257972, 3537031890, 14148127563, 56592510253, 226370041012, 905480164050, 3621920656203, 14487682624813, 57950730499252

Offset

1,1

Links

Jonathan Frech, Table of n, a(n) for n = 1..1661

Index entries for linear recurrences with constant coefficients, signature (5,-5,5,-4).

Formula

G.f.: x*(3-2*x+2*x^2) / ( (x-1)*(4*x-1)*(x^2+1) ). - R. J. Mathar, May 02 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {3, 1, 0, 2}], 4], {n, 30}] (* or *) LinearRecurrence[{5, -5, 5, -4}, {3, 13, 52, 210}, 30] (* Harvey P. Dale, Dec 31 2016 *)

Crossrefs

Cf. A007090 (numbers in base 4).

Sequence in context: A098619 A086608 A291182 * A037660 A122600 A063682

Adjacent sequences: A037769 A037770 A037771 * A037773 A037774 A037775

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved