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A283117 Number of nonequivalent ways (mod D_3) to place rooks on an n X n X n triangular grid so that no two of them are on the same row, column or diagonal. 3

%I #10 Sep 12 2019 19:39:01

%S 2,2,4,8,19,51,169,592,2281,9268,39521,175875,813780,3903533,19367571,

%T 99208196,523695465,2844708347,15877906262,90955375095,534101204061

%N Number of nonequivalent ways (mod D_3) to place rooks on an n X n X n triangular grid so that no two of them are on the same row, column or diagonal.

%F a(n) = Sum_{k=0..A004396(n)} A283113(n,k).

%F a(n) = (A289709(n) + 2*A326611(n) + 3*2^ceiling(n/2))/6. - _Andrew Howroyd_, Sep 12 2019

%Y Row sums of A283113.

%Y Cf. A289709, A326611.

%K nonn,more

%O 1,1

%A _R. J. Mathar_, Jul 07 2017

%E Name changed by _Andrew Howroyd_, Sep 12 2019

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)