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14, 15, 12, 13, 10, 11, 8, 9, 6, 7, 4, 5, 2, 3, 0, 1, 30, 31, 28, 29, 26, 27, 24, 25, 22, 23, 20, 21, 18, 19, 16, 17, 46, 47, 44, 45, 42, 43, 40, 41, 38, 39, 36, 37, 34, 35, 32, 33, 62, 63, 60, 61, 58, 59, 56, 57, 54, 55, 52, 53, 50, 51, 48, 49, 78, 79, 76
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refs;
listen;
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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,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-1).
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FORMULA
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a(n) = n + 2(-1)^[n/2] + 4(-1)^[n/4] + 8(-1)^[n/8]. - Mitchell Harris, Jan 10 2005
G.f.: (14-13*x+10*x^2-9*x^3+6*x^4-5*x^5+2*x^6-x^7-2*x^8+3*x^9-6*x^10+7*x^11-10*x^12+11*x^13-14*x^14+15*x^15) / ((1-x)^2*(1+x^2)*(1+x^4)*(1+x^8)). - Colin Barker, Apr 12 2016
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PROG
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(PARI) Vec((14-13*x+10*x^2-9*x^3+6*x^4-5*x^5+2*x^6-x^7-2*x^8+3*x^9-6*x^10+7*x^11-10*x^12+11*x^13-14*x^14+15*x^15) / ((1-x)^2*(1+x^2)*(1+x^4)*(1+x^8)) + O(x^50)) \\ Colin Barker, Apr 12 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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