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A152898
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Periodic sequence [1,4,0,0,0] of period 5
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1
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1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n+5) = a(n) with a(0) = 1, a(1) = 4 and a(2) = a(3) = a(4) = 0 ; o.g.f f(z) = ((1+4*z)/(1-z^5)) ; a(n) = 1+2/5*5^(1/2)*cos(2*n*Pi/5)+2/5*2^(1/2)*(5+5^(1/2))^(1/2)*sin(2*n*Pi/5)-2/5*5^(1/2)*cos(4*n*Pi/5)+2/5*2^(1/2)*(5-5^(1/2))^(1/2)*sin(4*n*Pi/5)
a(n)=(1/10)*{-(n mod 5)+[(n+1) mod 5]+[(n+2) mod 5]+9*[(n+3) mod 5]-5*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Dec 15 2008]
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MATHEMATICA
| PadRight[{}, 110, {1, 4, 0, 0, 0}] (* From Harvey P. Dale, Jan 21 2012 *)
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CROSSREFS
| A026065
Sequence in context: A136448 A128975 A152894 * A028719 A028662 A028715
Adjacent sequences: A152895 A152896 A152897 * A152899 A152900 A152901
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KEYWORD
| easy,nonn
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AUTHOR
| Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008
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