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%I #44 Dec 14 2023 06:18:30
%S 1,2,0,4,5,3,7,8,6,10,11,9,13,14,12,16,17,15,19,20,18,22,23,21,25,26,
%T 24,28,29,27,31,32,30,34,35,33,37,38,36,40,41,39,43,44,42,46,47,45,49,
%U 50,48,52,53,51,55,56,54,58,59,57,61,62
%N Tersum n + 1 (answer recorded in base 10).
%C Tersum m + n: write m and n in base 3 and add mod 3 with no carries; e.g., 5 + 8 = "21" + "22" = "10" = 1.
%C Sprague-Grundy values for game of Wyt Queens.
%D E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 76.
%H F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, <a href="https://doi.org/10.37236/8905">Queens in exile: non-attacking queens on infinite chess boards</a>, Electronic J. Combin., 27:1 (2020), Article P1.52.
%H Andreas Dress, Achim Flammenkamp, and Norbert Pink, <a href="http://dx.doi.org/10.1006/aama.1998.0632">Additive periodicity of the Sprague-Grundy function of certain Nim games</a>, Adv. Appl. Math., 22, p. 249-270 (1999).
%H Gabriel Nivasch, <a href="http://www.msri.org/people/staff/levy/files/Book56/43nivasch.pdf">More on the Sprague-Grundy function for Wythoff’s game</a>, pages 377-410 in "Games of No Chance 3, MSRI Publications Volume 56, 2009. See Table 1.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1).
%F Periodic with period 3 and saltus 3: a(n) = 3*floor(n/3) + ((n+1) mod 3).
%F a(n) = n - 2*cos(2*(n+1)*Pi/3). - _Wesley Ivan Hurt_, Sep 29 2017
%F Sum_{n>=3} (-1)^(n+1)/a(n) = 1/2 - log(2)/3. - _Amiram Eldar_, Aug 21 2023
%t LinearRecurrence[{1,0,1,-1},{1,2,0,4},70] (* or *) Table[3*Floor[n/3]+ Mod[ n+1,3],{n,0,70}] (* _Harvey P. Dale_, Nov 29 2014 *)
%Y This sequence is row 1 of table A004481.
%Y a(n) = A061347(n+1) + n.
%Y Third column of triangle A296339.
%K nonn,easy,base
%O 0,2
%A _N. J. A. Sloane_
%E More terms from _Erich Friedman_
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