A037528 Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,2.

1, 4, 14, 43, 130, 392, 1177, 3532, 10598, 31795, 95386, 286160, 858481, 2575444, 7726334, 23179003, 69537010, 208611032, 625833097, 1877499292, 5632497878, 16897493635, 50692480906, 152077442720, 456232328161

Offset

1,2

Links

Table of n, a(n) for n=1..25.

Index entries for linear recurrences with constant coefficients, signature (3,0,1,-3).

Formula

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

A007089(a(n)) = A037535(n). - R. J. Mathar, Apr 27 2015

a(n) = 3*a(n-1)+a(n-3)-3*a(n-4). - Wesley Ivan Hurt, Apr 21 2021

Mathematica

nn=30; With[{c=PadRight[{}, nn, {1, 1, 2}]}, Table[FromDigits[Take[c, n], 3], {n, nn}]] (* Harvey P. Dale, Jun 04 2012 *)

Crossrefs

Sequence in context: A296253 A247470 A049539 * A292718 A212688 A261451

Adjacent sequences: A037525 A037526 A037527 * A037529 A037530 A037531

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved