A037560 Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,2,1.

2, 8, 25, 77, 233, 700, 2102, 6308, 18925, 56777, 170333, 511000, 1533002, 4599008, 13797025, 41391077, 124173233, 372519700, 1117559102, 3352677308, 10058031925, 30174095777, 90522287333, 271566862000, 814700586002

Offset

1,1

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

Mathematica

Table[FromDigits[PadRight[{}, n, {2, 2, 1}], 3], {n, 30}] (* or *) LinearRecurrence[ {3, 0, 1, -3}, {2, 8, 25, 77}, 30] (* Harvey P. Dale, Jul 08 2017 *)

Crossrefs

Sequence in context: A119854 A176855 A309237 * A138804 A212323 A301842

Adjacent sequences: A037557 A037558 A037559 * A037561 A037562 A037563

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved