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A021031

Decimal expansion of 1/27.

0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7, 0, 3, 7

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..98.

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

FORMULA

From Bruno Berselli, Sep 24 2010: (Start)

G.f.: x*(3+7*x)/(1-x^3).

a(n) - a(n-3) = 0 for n > 2.

a(n) = A175833(n) - 4 = 4*(n-3*floor(n/3)) - (1 - (-1)^(n-3*floor((n+1)/3)))/2.

(End)