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A152855
Period 5: Repeat [1, 2, 0, 2, 0].
0
1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0
OFFSET
0,2
FORMULA
a(n+5) = a(n) with a(0) = 1, a(1) = a(3) = 2 and a(2) = a(4) = 0.
O.g.f.: f(z) = (1+2*z+2*z^3)/(1-z^5).
a(n) = 1+(-1/5*((5-5^(1/2))^(1/2)-(5+5^(1/2))^(1/2))*2^(1/2))*sin(2*n*Pi/5)+(1/5*((5-5^(1/2))^(1/2)+(5+5^(1/2))^(1/2))*2^(1/2))*sin(4*n*Pi/5).
MATHEMATICA
PadRight[{}, 120, {1, 2, 0, 2, 0}] (* Harvey P. Dale, Dec 17 2022 *)
CROSSREFS
Cf. A026039.
Sequence in context: A174793 A245718 A192011 * A218907 A192575 A029401
KEYWORD
easy,nonn
AUTHOR
Richard Choulet, Dec 14 2008
STATUS
approved