A093699 Maximum number of odd 2 X 2 submatrices over all 2n X 2n (0,1) matrices.

1, 24, 129, 448, 1105, 2376, 4417, 7680, 12321, 19000, 27841, 39744, 54769, 74088, 97665, 126976, 161857, 204120, 253441, 312000, 379281, 457864, 547009, 649728, 765025, 896376, 1042497, 1207360, 1389361, 1593000, 1816321, 2064384

Offset

1,2

Links

Table of n, a(n) for n=1..32.

M. Marks, R. Norwood and G. Poole, The maximum number of 2 X 2 odd submatrices in (0,1) matrices, Electr. J. Lin. Alg., 10(2003), 223-231.

Formula

G.f.: x(x^6+38x^5+95x^4+148x^3+79x^2+22x+1)/[(1-x)^5(1+x)^3].

Crossrefs

Sequence in context: A167981 A185490 A293365 * A275405 A223409 A205343

Adjacent sequences: A093696 A093697 A093698 * A093700 A093701 A093702

Keyword

nonn

Author

Ralf Stephan, May 16 2004

Status

approved