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A152855 Periodic sequence [1,2,0,2,0] of period 5 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..104.

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

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)

a(n)=(1/10)*{3*(n mod 5)+[(n+1) mod 5]+5*[(n+2) mod 5]-5*[(n+3) mod 5]+11*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava, Dec 15 2008]

CROSSREFS

A026039

Sequence in context: A174793 A245718 A192011 * A218907 A192575 A029401

Adjacent sequences: A152852 A152853 A152854 * A152856 A152857 A152858

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Dec 14 2008

STATUS

approved

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Last modified December 3 09:03 EST 2022. Contains 358515 sequences. (Running on oeis4.)