A037544 Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,2.

1, 5, 17, 52, 158, 476, 1429, 4289, 12869, 38608, 115826, 347480, 1042441, 3127325, 9381977, 28145932, 84437798, 253313396, 759940189, 2279820569, 6839461709, 20518385128, 61555155386, 184665466160, 553996398481

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+2*x+2*x^2) / ( (x-1)*(3*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 30 2015

Mathematica

nn=40; With[{c=PadRight[{}, nn, {1, 2, 2}]}, Table[FromDigits[Take[c, n], 3], {n, nn}]] (* Harvey P. Dale, Jul 15 2012 *)

Crossrefs

Sequence in context: A290186 A178703 A248875 * A090575 A191139 A107167

Adjacent sequences: A037541 A037542 A037543 * A037545 A037546 A037547

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved