A188895 Number of n X n (real) {-1,1}-matrices having determinant A003433(n).

1, 4, 96, 384, 30720, 7372800, 4335206400, 2477260800, 25684239974400, 7191587192832000

Offset: 0

Author

Eric W. Weisstein, Apr 19 2011

Keywords

• nonn
• more
• hard

Links

• Minfeng Wang, C++ program to calculate a(2) .. a(5)
• Eric Weisstein's World of Mathematics, Hadamard's Maximum Determinant Problem
• Eric Weisstein's World of Mathematics, (-1, 1)-Matrix

Crossrefs

Cf. A003433, A051752.

Formula

a(n) = 2^(2n+1) * A051752(n) for n>=2. - Hugo Pfoertner and Minfeng Wang, Jan 22 2023

Extensions

Offset changed to 0 by Hugo Pfoertner, Jan 23 2023

a(5)-a(9) from Minfeng Wang, Jan 22 2023