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A037480 Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,2. 3
1, 5, 16, 50, 151, 455, 1366, 4100, 12301, 36905, 110716, 332150, 996451, 2989355, 8968066, 26904200, 80712601, 242137805, 726413416, 2179240250, 6537720751, 19613162255, 58839486766, 176518460300, 529555380901 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

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

FORMULA

a(n) = (5*3^n + (-1)^n - 6)/8 . - Paul D. Hanna, Sep 23 2007

a(n) = 3*a(n-1)+a(n-2)-3*a(n-3). G.f.: x*(2*x+1) / ((x-1)*(x+1)*(3*x-1)). - Colin Barker, Apr 30 2014

MAPLE

a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=2*a[n-1]+3*a[n-2]+3 od: seq(a[n], n=1..33); # Zerinvary Lajos, Dec 14 2008

MATHEMATICA

CoefficientList[Series[(2 x + 1)/((x - 1) (x + 1) (3 x - 1)), {x, 0, 40}], x] (* Vincenzo Librandi, May 01 2014 *)

PROG

(PARI) Vec(x*(2*x+1)/((x-1)*(x+1)*(3*x-1)) + O(x^100)) \\ Colin Barker, Apr 30 2014

CROSSREFS

Sequence in context: A082001 A084356 A007806 * A027108 A077840 A007343

Adjacent sequences:  A037477 A037478 A037479 * A037481 A037482 A037483

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified May 29 21:20 EDT 2017. Contains 287257 sequences.