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A263453 Number of starting positions of Kayles with n pieces such that the 2nd player can win (P-positions). 2

%I

%S 1,0,1,0,2,1,4,1,6,7,9,9,17,17,30,25,44,49,74,67,109,125,164,188,245,

%T 285,390,424,551,645,847,933,1199,1393,1747,2047,2463,2893,3622,4161,

%U 5016,5863,7203,8282,9973,11533,13927,16300,19095,22213,26645,30823,36166

%N Number of starting positions of Kayles with n pieces such that the 2nd player can win (P-positions).

%C The partition p = (p_1,...,p_k) is counted if the Nimsum of the A002186(p_i) is 0.

%H Eric M. Schmidt, <a href="/A263453/b263453.txt">Table of n, a(n) for n = 0..10000</a>

%H Eric M. Schmidt, <a href="/A263453/a263453.cpp.txt">C++ code to compute this sequence</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Kayles">Kayles</a>

%e For n = 6 the a(6) = 4 P-positions are (3,3), (3,2,1), (2,2,1,1), and (1,1,1,1,1,1).

%Y Cf. A002186, A048833, A263454.

%K nonn

%O 0,5

%A _Brian Hopkins_, Oct 18 2015

%E a(0) and more terms from _Eric M. Schmidt_, Jan 11 2017

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Last modified August 8 23:02 EDT 2020. Contains 336300 sequences. (Running on oeis4.)