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A004484 Sprague-Grundy values for game of Wyt Queens. 1

%I #23 Oct 26 2023 08:33:17

%S 3,4,5,6,2,0,1,9,10,12,8,7,15,11,16,18,14,13,21,17,22,24,20,19,27,23,

%T 28,30,26,25,33,29,34,36,32,31,39,35,40,42,38,37,45,41,46,48,44,43,51,

%U 47,52,54,50,49,57,53,58,60,56,55,63,59

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

%C Inverse of sequence A064206 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/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,1,-1).

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

%F a(n) = a(n-1) + a(n-6) - a(n-7) for n > 14.

%F G.f.: (4*x^14 - 12*x^13 + 7*x^12 + x^11 + x^9 + 7*x^7 - 2*x^6 - 2*x^5 - 4*x^4 + x^3 + x^2 + x + 3)/(x^7 - x^6 - x + 1). (End)

%Y This sequence is row 3 of table A004481.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Howard A. Landman_

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Last modified April 24 15:42 EDT 2024. Contains 371960 sequences. (Running on oeis4.)