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 A265734 Permutation of nonnegative integers: a(n) = n + floor(n/5)*(-1)^(n mod 5). 6
 0, 1, 2, 3, 4, 6, 5, 8, 7, 10, 12, 9, 14, 11, 16, 18, 13, 20, 15, 22, 24, 17, 26, 19, 28, 30, 21, 32, 23, 34, 36, 25, 38, 27, 40, 42, 29, 44, 31, 46, 48, 33, 50, 35, 52, 54, 37, 56, 39, 58, 60, 41, 62, 43, 64, 66, 45, 68, 47, 70, 72, 49, 74, 51, 76, 78, 53, 80 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Bruno Berselli, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,2,0,0,0,0,-1). FORMULA G.f.: x*(1 + 2*x + 3*x^2 + 4*x^3 + 6*x^4 + 3*x^5 + 4*x^6 + x^7 + 2*x^8) / ((1 - x)^2*(1 + x + x^2 + x^3 + x^4)^2). a(n) = 2*a(n-5) - a(n-10). a(5*k+r) = (5+(-1)^r)*k + r, where r=0..4. EXAMPLE ------------------------------------------------------------------------ 0, 1, 2, 3, 4, 5,  6, 7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18, ... +  +  +  +  +  +   +  +   +   +   +   +   +   +   +   +   +   +   + 0, 0, 0, 0, 0, 1, -1, 1, -1,  1,  2, -2,  2, -2,  2,  3, -3,  3, -3, ... ------------------------------------------------------------------------ 0, 1, 2, 3, 4, 6,  5, 8,  7, 10, 12,  9, 14, 11, 16, 18, 13, 20, 15, ... ------------------------------------------------------------------------ MATHEMATICA Table[n + Floor[n/5] (-1)^Mod[n, 5], {n, 0, 80}] PROG (Sage) [n+floor(n/5)*(-1)^mod(n, 5) for n in (0..80)] (MAGMA) [n+Floor(n/5)*(-1)^(n mod 5): n in [0..80]]; CROSSREFS Cf. A001477. Cf. A064455: n+floor(n/2)*(-1)^(n mod 2). Cf. A265667: n+floor(n/3)*(-1)^(n mod 3). Cf. A265888: n+floor(n/4)*(-1)^(n mod 4) Sequence in context: A285039 A260307 A285041 * A299759 A232560 A183090 Adjacent sequences:  A265731 A265732 A265733 * A265735 A265736 A265737 KEYWORD nonn,easy AUTHOR Bruno Berselli, Dec 15 2015 - based on an idea by Paul Curtz. STATUS approved

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Last modified April 17 06:46 EDT 2021. Contains 343059 sequences. (Running on oeis4.)