I have forgotten
my Password

Or login with:

  • Facebookhttp://facebook.com/
  • Googlehttps://www.google.com/accounts/o8/id
  • Yahoohttps://me.yahoo.com
get GPL
COST (GBP)
this unit 1.67
sub units 0.00
+
0

ASM Number

Returns the number of alternating sign matrices of the given order.
Controller: CodeCogs

Interface

C++
Excel

Asm Number

 
intasm_numberintn )
A direct formula for calculating the number of alternating sign matrices of order n is:

References:

SUBSET, a C++ library of combinatorial routines, http://www.csit.fsu.edu/~burkardt/cpp_src/subset/subset.html

Example 1

#include <codecogs/maths/combinatorics/sequences/asm_number.h>
#include <iostream>
int main()
{
  for (int i = 0; i < 10; i++)
    std::cout << i << " " << Maths::Combinatorics::Sequences::asm_number(i) << std::endl;
  return 0;
}
Output:
0 1
1 1
2 2
3 7
4 42
5 429
6 7436
7 218348
8 10850216
9 188958604

Parameters

nthe order of the matrices

Returns

the number of alternating matrices of order n

Authors

Lucian Bentea (August 2005)
Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

Not a member, then Register with CodeCogs. Already a Member, then Login.