A037723 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3,1.

2, 8, 35, 141, 566, 2264, 9059, 36237, 144950, 579800, 2319203, 9276813, 37107254, 148429016, 593716067, 2374864269, 9499457078, 37997828312, 151991313251, 607965253005, 2431861012022, 9727444048088, 38909776192355

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*(2+3*x^2+x^3) ) / ( (x-1)*(4*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 14 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {2, 0, 3, 1}], 4], {n, 30}] (* or *) LinearRecurrence[{4, 0, 0, 1, -4}, {2, 8, 35, 141, 566}, 30] (* Harvey P. Dale, Dec 14 2025 *)

Crossrefs

Sequence in context: A121789 A057900 A116618 * A037618 A326294 A184786

Adjacent sequences: A037720 A037721 A037722 * A037724 A037725 A037726

Keyword

nonn,base

Author

Clark Kimberling

Status

approved