OFFSET
0,1
COMMENTS
A self-inverse 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. 51-53.
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
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).
FORMULA
a(n) = n + 2(-1)^[n/2] + 16(-1)^[n/16]. - Mitchell Harris, Jan 10 2005
From Colin Barker, Apr 13 2016: (Start)
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)
PROG
(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
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved