

A152893


Periodic sequence [3, 3, 0, 0, 4] of period 5


1



3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4, 3, 3, 0, 0, 4
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OFFSET

0,1


LINKS

Table of n, a(n) for n=0..49.


FORMULA

a(n+5) = a(n) with a(0) = a(1) = 3, a(2) = a(3) = 0 and a(4) = 4 ; o.g.f f(z) = ((3+3*z+4*z^4)/(1z^5)) ; a(n) = 2+(1/2+7/10*5^(1/2))*cos(2*n*Pi/5)+(1/10*2^(1/2)*(5+5^(1/2))^(1/2))*sin(2*n*Pi/5)+(1/27/10*5^(1/2))*cos(4*n*Pi/5)+(1/10*2^(1/2)*(55^(1/2))^(1/2))*sin(4*n*Pi/5)
a(n)=(1/5)*{2*(n mod 5)3*[(n+1) mod 5]+[(n+2) mod 5]+4*[(n+3) mod 5]+[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava, Dec 15 2008]
a(n)= [(n2)^3 (n2)^2] mod 5 [From Gary Detlefs, Mar 20 2010]


MATHEMATICA

PadRight[{}, 120, {3, 3, 0, 0, 4}] (* Harvey P. Dale, Sep 17 2018 *)


CROSSREFS

A026056
Sequence in context: A170852 A245320 A330341 * A297978 A298629 A298461
Adjacent sequences: A152890 A152891 A152892 * A152894 A152895 A152896


KEYWORD

easy,nonn


AUTHOR

Richard Choulet, Dec 14 2008


STATUS

approved



