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 A065174 Permutation of Z, folded to N, corresponding to the site swap pattern ...242824202428242... (A065176). 5
 1, 6, 2, 12, 4, 10, 3, 24, 8, 14, 7, 20, 5, 18, 11, 48, 16, 22, 15, 28, 13, 26, 19, 40, 9, 30, 23, 36, 21, 34, 27, 96, 32, 38, 31, 44, 29, 42, 35, 56, 25, 46, 39, 52, 37, 50, 43, 80, 17, 54, 47, 60, 45, 58, 51, 72, 41, 62, 55, 68, 53, 66, 59, 192, 64, 70, 63, 76, 61, 74, 67, 88 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This permutation corresponds to the site swap pattern shown in the figure 7 of Buhler and Graham paper and consists of one fixed point (at 0, mapped here to 1) and infinite number of infinite cycles. LINKS Joe Buhler and R. L. Graham, Juggling Drops and Descents, Amer. Math. Monthly, 101, (no. 6) 1994, 507 - 519. MAPLE [seq(Z2N(N2Z(n)+TZ2(abs(N2Z(n)))), n=1..120)]; TZ2 := proc(xx) local x, s; s := 1; x := xx; if(0 = x) then RETURN(0); fi; while(0 = (x mod 2)) do x := floor(x/2); s := s+1; od; RETURN(2^s); end; N2Z := n -> ((-1)^n)*floor(n/2); Z2N := z -> 2*abs(z)+`if`((z < 1), 1, 0); CROSSREFS Inverse permutation: A065175. A065176 gives the deltas p(t)-t, i.e. the associated site swap sequence. Cf. also A065167, A065171. Sequence in context: A040035 A065272 A070394 * A065284 A050088 A163864 Adjacent sequences:  A065171 A065172 A065173 * A065175 A065176 A065177 KEYWORD nonn AUTHOR Antti Karttunen, Oct 19 2001 STATUS approved

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Last modified May 27 17:53 EDT 2020. Contains 334664 sequences. (Running on oeis4.)