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 A105367 Expansion of (1-x^3)/(1-x^5). 3
 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; text; internal format)
 OFFSET 0,1 COMMENTS Periodic {1,0,0,-1,0}. Partial sums of A105368. Binomial transform of A105370. LINKS Index entries for linear recurrences with constant coefficients, signature (-1,-1,-1,-1). FORMULA G.f.: (1+x+x^2)/(1+x+x^2+x^3+x^4); a(n) = sqrt(2/5 - 2*sqrt(5)/25)*cos(4*Pi*n/5 + 3*Pi/10) + sqrt(2/5 + 2*sqrt(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, Jun 11 2007 CROSSREFS Sequence in context: A244612 A262805 A213728 * A232990 A285076 A338353 Adjacent sequences: A105364 A105365 A105366 * A105368 A105369 A105370 KEYWORD easy,sign AUTHOR Paul Barry, Apr 01 2005 STATUS approved

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Last modified March 30 23:17 EDT 2023. Contains 361623 sequences. (Running on oeis4.)