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,-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.: (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
PROG
(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
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved