



13, 12, 15, 14, 9, 8, 11, 10, 5, 4, 7, 6, 1, 0, 3, 2, 29, 28, 31, 30, 25, 24, 27, 26, 21, 20, 23, 22, 17, 16, 19, 18, 45, 44, 47, 46, 41, 40, 43, 42, 37, 36, 39, 38, 33, 32, 35, 34, 61, 60, 63, 62, 57, 56, 59, 58, 53, 52, 55, 54, 49, 48, 51, 50, 77, 76, 79
(list;
graph;
refs;
listen;
history;
text;
internal format)



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 (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1).


FORMULA

a(n) = n + (1)^n + 4(1)^[n/4] + 8(1)^[n/8].  Mitchell Harris, Jan 10 2005
From Colin Barker, Apr 13 2016: (Start)
a(n) = n XOR 13.
G.f.: (13x10*x^2+5*x^4x^52*x^63*x^8x^9+6*x^1011*x^12x^13+14*x^14) / ((1x)^2*(1+x)*(1+x^4)*(1+x^8)).
(End)


PROG

(PARI) Vec((13x10*x^2+5*x^4x^52*x^63*x^8x^9+6*x^1011*x^12x^13+14*x^14)/((1x)^2*(1+x)*(1+x^4)*(1+x^8)) + O(x^50)) \\ Colin Barker, Apr 13 2016


CROSSREFS

Sequence in context: A055124 A212526 A019331 * A113548 A249998 A195210
Adjacent sequences: A004451 A004452 A004453 * A004455 A004456 A004457


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



