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18, 19, 16, 17, 22, 23, 20, 21, 26, 27, 24, 25, 30, 31, 28, 29, 2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9, 14, 15, 12, 13, 50, 51, 48, 49, 54, 55, 52, 53, 58, 59, 56, 57, 62, 63, 60, 61, 34, 35, 32, 33, 38, 39, 36, 37, 42, 43, 40, 41, 46, 47, 44, 45, 82, 83, 80
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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A self-inverse permutation of the natural numbers. - Philippe Deléham, Nov 22 2016
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REFERENCES
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E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 60.
J. H. Conway, On Numbers and Games. Academic Press, NY, 1976, pp. 51-53.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (2,-2,2,-1,0,0,0,0,0,0,0,0,0,0,0,-1,2,-2,2,-1).
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FORMULA
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a(n) = n + 2(-1)^[n/2] + 16(-1)^[n/16]. - Mitchell Harris, Jan 10 2005
a(n) = n XOR 18.
G.f.: (18-17*x+14*x^2-13*x^3-14*x^16+15*x^17-18*x^18+19*x^19) / ((1-x)^2*(1+x^2)*(1+x^16)).
(End)
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PROG
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(PARI) Vec((18-17*x+14*x^2-13*x^3-14*x^16+15*x^17-18*x^18+19*x^19)/((1-x)^2*(1+x^2)*(1+x^16)) + O(x^50)) \\ Colin Barker, Apr 13 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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