A174582 Let J_n be n X n matrix which contains 1's only, I=I_n be the n X n identity matrix and P=P_n be the incidence matrix of the cycle (1,2,3,...,n). Then a(n) is the number of (0,1,2) n X n matrices A<=2(J_n-I-P-P^2) with exactly one 1 and one 2 in every row and column

0, 2, 72, 3722, 329192, 32842446

Offset

4,2

References

V. S. Shevelev, Development of the rook technique for calculating the cyclic indicators of (0,1)-matrices, Izvestia Vuzov of the North-Caucasus region, Nature sciences 4 (1996), 21-28 (in Russian).

S. E. Grigorchuk, V. S. Shevelev, An algorithm of computing the cyclic indicator of couples discordant permutations with restricted position, Izvestia Vuzov of the North-Caucasus region, Nature sciences 3 (1997), 5-13 (in Russian).

Links

Table of n, a(n) for n=4..9.

Crossrefs

A001499 A007107 A082491 A000186 A174564 A174580 A174581

Sequence in context: A179957 A221549 A289197 * A377881 A344056 A253316

Adjacent sequences: A174579 A174580 A174581 * A174583 A174584 A174585

Keyword

nonn,uned

Author

Vladimir Shevelev, Mar 23 2010

Status

approved