A037618 - OEIS

A037618

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

2, 8, 35, 142, 568, 2275, 9102, 36408, 145635, 582542, 2330168, 9320675, 37282702, 149130808, 596523235, 2386092942, 9544371768, 38177487075, 152709948302, 610839793208, 2443359172835, 9773436691342, 39093746765368

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..23.

Index entries for 2-automatic sequences.

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

FORMULA

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

A007090(a(n)) = A037624(n). - R. J. Mathar, Apr 27 2015

MATHEMATICA

Table[FromDigits[PadRight[{}, n, {2, 0, 3}], 4], {n, 30}] (* or *) LinearRecurrence[{4, 0, 1, -4}, {2, 8, 35, 142}, 30] (* Harvey P. Dale, Aug 23 2025 *)

PROG

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -4, 1, 0, 4]^(n-1)*[2; 8; 35; 142])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

CROSSREFS

Sequence in context: A057900 A116618 A037723 * A326294 A184786 A390527

Adjacent sequences: A037615 A037616 A037617 * A037619 A037620 A037621

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved