



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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OFFSET

0,1


COMMENTS

A selfinverse permutation of the natural numbers.  Philippe Deléham, Nov 22 2016


REFERENCES

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. 5153.


LINKS

Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for sequences related to Nimsums
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).


FORMULA

a(n) = n + 2(1)^[n/2] + 4(1)^[n/4] + 8(1)^[n/8].  Mitchell Harris, Jan 10 2005
G.f.: (1413*x+10*x^29*x^3+6*x^45*x^5+2*x^6x^72*x^8+3*x^96*x^10+7*x^1110*x^12+11*x^1314*x^14+15*x^15) / ((1x)^2*(1+x^2)*(1+x^4)*(1+x^8)).  Colin Barker, Apr 12 2016


PROG

(PARI) Vec((1413*x+10*x^29*x^3+6*x^45*x^5+2*x^6x^72*x^8+3*x^96*x^10+7*x^1110*x^12+11*x^1314*x^14+15*x^15) / ((1x)^2*(1+x^2)*(1+x^4)*(1+x^8)) + O(x^50)) \\ Colin Barker, Apr 12 2016


CROSSREFS

Sequence in context: A134913 A176169 A168548 * A142865 A089838 A297278
Adjacent sequences: A004452 A004453 A004454 * A004456 A004457 A004458


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



