%I #21 Oct 26 2023 08:33:08

%S 4,5,3,2,7,6,9,0,1,8,13,12,11,16,15,10,19,18,17,14,21,20,25,24,23,28,

%T 27,22,31,30,29,26,33,32,37,36,35,40,39,34,43,42,41,38,45,44,49,48,47,

%U 52,51,46,55,54,53,50,57,56,61,60,59,64

%N Sprague-Grundy values for game of Wyt Queens.

%C Inverse of sequence A064207 considered as a permutation of the nonnegative integers. - _Howard A. Landman_, Sep 25 2001

%D E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 76.

%H A. Dress, A. Flammenkamp and N. 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, pp. 249-270 (1999).

%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,1,-1).

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%F Conjectures from _Chai Wah Wu_, Apr 05 2021: (Start)

%F a(n) = a(n-1) + a(n-12) - a(n-13) for n > 21.

%F G.f.: (-8*x^21 + 6*x^20 + 6*x^19 - 4*x^18 + 4*x^16 - 4*x^15 + x^14 + 4*x^13 - 5*x^12 - x^11 + 5*x^10 + 7*x^9 + x^8 - 9*x^7 + 3*x^6 - x^5 + 5*x^4 - x^3 - 2*x^2 + x + 4)/(x^13 - x^12 - x + 1). (End)

%Y This sequence is row 4 of table A004481.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Howard A. Landman_