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A037078 In ternary expansion of n, reading from right to left, digits occur in order ...,0,1,2,0,1,2,... 3
0, 1, 2, 3, 7, 11, 21, 34, 65, 102, 196, 308, 588, 925, 1766, 2775, 5299, 8327, 15897, 24982, 47693, 74946, 143080, 224840, 429240, 674521, 1287722, 2023563, 3863167, 6070691, 11589501, 18212074, 34768505, 54636222, 104305516, 163908668 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..35.

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

FORMULA

G.f. x*(1+2*x) / ( (x-1)*(1+x+x^2)*(3*x^2-1) ). - R. J. Mathar, Mar 22 2011

a(0)=0, a(1)=1, a(2)=2, a(3)=3, a(4)=7, a(n)=3*a(n-2)+a(n-3)-3*a(n-5). - Harvey P. Dale, Aug 23 2013

EXAMPLE

34 = 1021 (base 3) passes the test.

MATHEMATICA

CoefficientList[Series[x (1+2x)/((x-1)(1+x+x^2)(3x^2-1)), {x, 0, 40}], x] (* or *) LinearRecurrence[{0, 3, 1, 0, -3}, {0, 1, 2, 3, 7}, 40] (* Harvey P. Dale, Aug 23 2013 *)

CROSSREFS

Cf. A037079-A037081.

Sequence in context: A095015 A024367 A232432 * A034431 A095766 A126755

Adjacent sequences:  A037075 A037076 A037077 * A037079 A037080 A037081

KEYWORD

nonn,base,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Erich Friedman

STATUS

approved

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Last modified February 16 16:00 EST 2020. Contains 331961 sequences. (Running on oeis4.)