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%I #24 Feb 19 2020 23:33:02
%S 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,
%T 20,21,18,19,16,17,46,47,44,45,42,43,40,41,38,39,36,37,34,35,32,33,62,
%U 63,60,61,58,59,56,57,54,55,52,53,50,51,48,49,78,79,76
%N Nimsum n + 14.
%C A self-inverse permutation of the natural numbers. - _Philippe Deléham_, Nov 22 2016
%D E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 60.
%D J. H. Conway, On Numbers and Games. Academic Press, NY, 1976, pp. 51-53.
%H Colin Barker, <a href="/A004455/b004455.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Ni#Nimsums">Index entries for sequences related to Nim-sums</a>
%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-1).
%F a(n) = n + 2(-1)^[n/2] + 4(-1)^[n/4] + 8(-1)^[n/8]. - Mitchell Harris, Jan 10 2005
%F 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
%o (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
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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