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 A152889 Periodic sequence [1,0,4,0,0] of period 5 1
 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS 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(2) = a(3) = a(4) = 0 and a(2) = 4 ; o.g;f (1+4z^2)/(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+2) mod 5]+9*[(n+2) mod 5]-7*[(n+3) mod 5]+3*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava, Jan 09 2009] CROSSREFS Sequence in context: A096623 A171914 A200627 * A216273 A327517 A151905 Adjacent sequences:  A152886 A152887 A152888 * A152890 A152891 A152892 KEYWORD easy,nonn AUTHOR Richard Choulet, Dec 14 2008 EXTENSIONS More terms from Philippe Deléham, Dec 29 2008 STATUS approved

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Last modified May 16 00:49 EDT 2021. Contains 343937 sequences. (Running on oeis4.)