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 A198517 Period 5: repeat 1,0,1,0,0. 4
 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, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Unsigned version of A105385; also partial sums of A156174. LINKS Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,1). FORMULA G.f.: (1+x^2)/(1-x^5). a(n) = a(-n+2) = (1/25)*(-4*(n mod 5)+((n+1) mod 5)+6*((n+2) mod 5)-4*((n+3) mod 5)+6*((n+4) mod 5)). a(n)+a(n+1)+a(n+2) = A177706(n+4). a(n)-a(n+2)+a(n+4) = A011658(n+2). a(n) = ((n+4)^2 mod 5 + (n+4)^4 mod 5)/2. - Gary Detlefs, May 29 2012 MATHEMATICA PadRight[{}, 120, {1, 0, 1, 0, 0}] (* Harvey P. Dale, Dec 09 2012 *) PROG (MAGMA) &cat[[1, 0, 1, 0, 0]: n in [0..17]]; (PARI) a(n)=n%5==0 || n%5==2 \\ Charles R Greathouse IV, Oct 28 2011 CROSSREFS Cf. A079998. Cf. A057354 (partial sums, without initial zeros). Sequence in context: A190236 A190224 A186518 * A190227 A187950 A188467 Adjacent sequences:  A198514 A198515 A198516 * A198518 A198519 A198520 KEYWORD nonn,easy,changed AUTHOR Bruno Berselli, Oct 27 2011 STATUS approved

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