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Search: id:A065174
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| A065174 |
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Permutation of Z, folded to N, corresponding to the site swap pattern ...242824202428242... (A065176). |
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+0
6
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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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.
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LINKS
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Joe Buhler and Ron Graham, Juggling Drops and Descents, Amer. Math. Monthly, 101, (no. 6) 1994, 507 - 519.
Index entries for sequences that are permutations of the natural numbers
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MAPLE
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[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);
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CROSSREFS
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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 this_sequence A065284 A050088 A163864
Adjacent sequences: A065171 A065172 A065173 this_sequence A065175 A065176 A065177
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen Oct 19 2001
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