A037590 Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3.

1, 4, 19, 77, 308, 1235, 4941, 19764, 79059, 316237, 1264948, 5059795, 20239181, 80956724, 323826899, 1295307597, 5181230388, 20724921555, 82899686221, 331598744884, 1326394979539, 5305579918157, 21222319672628, 84889278690515

Offset

1,2

Links

Table of n, a(n) for n=1..24.

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

Formula

G.f.: x*(1+3*x^2) / ( (x-1)*(4*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 0, 3}], 4], {n, 30}] (* Harvey P. Dale, Apr 28 2018 *)

Crossrefs

Sequence in context: A094734 A094578 A130132 * A359087 A037681 A156760

Adjacent sequences: A037587 A037588 A037589 * A037591 A037592 A037593

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved