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A105367
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Expansion of (1-x^3)/(1-x^5).
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3
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1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Periodic {1,0,0,-1,0}. Partial sums of A105368. Binomial transform of A105370.
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FORMULA
| G.f.: (1+x+x^2)/(1+x+x^2+x^3+x^4); a(n)=sqrt(2/5-2sqrt(5)/25)cos(4*pi*n/5+3*pi/10)+sqrt(2/5+2sqrt(5)/25)sin(2*pi*n/5+2*pi/5)
a(n)=(1/5)*{-(n mod 5)-[(n+1) mod 5]+[(n+2) mod 5]+[(n+4) mod 5]}, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 11 2007
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CROSSREFS
| Sequence in context: A104015 A173858 A101266 * A065043 A121559 A004641
Adjacent sequences: A105364 A105365 A105366 * A105368 A105369 A105370
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KEYWORD
| easy,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 01 2005
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