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A006717 — Number of ways of arranging 2n+1 nonattacking semi-queens on a (2n+1) X (2n+1) toroidal board, number of transversals in cyclic Latin squares

A051906 — Number of ways of placing N nonattacking queens on an NxN toroidal chessboard, used for getting some types of pandiagonal LS (checked for N<20)

A007705 — Number of ways of placing N=2n+1 nonattacking queens on an NxN toroidal chessboard, used for getting some types of pandiagonal LS (checked for N<22)

A370672 — Number of ways of placing N=2n+1 nonattacking queens on an NxN toroidal chessboard using knight moving with parameters (dx,dy) starting from any cell

A007016 — Number of permutations of length N with 1 fixed and 1 reflected point (upper bound for the number of diagonal transversals in a Latin square of order N)

A000041 — Number of separations of integer N to the positive integer terms a[1], a[2], ..., where a[i] <= a[i+1]; number of different multisets of cycle lengths for permutations of order N; number of codes of generalized symmetries for one dimension in Latin squares of order N

A000010 — Euler totient function; number of cyclic Latin squares of order N with constant first row

A000316 — Card decks, number of X-based diagonal fillings with constant main diagonal

A071607 — Number of strong complete mappings of the cyclic group Z_{2n+1}

A016152 — a(n) = 4^(n-1)*(2^n-1), maximum number of intercalates in a Latin squares of order N=2^n

A006096 — Gaussian binomial coefficient, a(n)=(2^n-1)*(2^n-2)*(2^n-4)/4 * 42, maximum number of intercalates in a Latin squares of order N=2^n-1

A016755 — Odd cubes, maximum number of intercalates in pine LS of order N=4k+2

A089207, A099721 — a(n) = 4*n^3 + 2*n^2, a(n) = n^2*(2*n+1), maximum number of intercalates in pine LS of order N=4k

Last updated: May 03 2025