A158677 - OEIS

A158677

Period 6: repeat [3, 4, 0, 5, 6, 3].

3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0, 5, 6, 3, 3, 4, 0

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OFFSET

1,1

COMMENTS

Also the decimal expansion of 1135210/333333 or the continued fraction of (81+sqrt(9867))/58.

LINKS

Table of n, a(n) for n=1..105.

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

FORMULA

G.f.: x*(3+4*x+5*x^3+6*x^4+3*x^5) / ((1-x)*(1+x)*(1+x+x^2)*(x^2-x+1)).

a(n) = a(n-6) for n>6.

a(n) = cos(n*Pi/6)^2 * (39 - 36*cos(n*Pi/3) + 6*cos(2*n*Pi/3) - 4*sqrt(3)*sin(n*Pi/3))/3. - Wesley Ivan Hurt, Jun 23 2016