FUNCTION: BnTranspoPalin - image of a simple reflection in S(2n)

CALLING SEQUENCE:

BnTranspoPalin(i, n)

BN[BnTranspoPalin](i, n)

PARAMETERS:

n = any positive integer

i = any non negative integer

SYNOPSIS:

• The BnTranspoPalin function returns a generator of B(n). The result is an element of B(n) embedded into S(2*n), as a palindromic permutation.

• BnTranspoPalin(0, n) = [1, ..., n+1, n, ..., 2*n].

• BnTranspoPalin(i, n) = [1, ..., n-i+1, n-i, ..., n+i+1, n+i, ..., 2*n].

• Whenever there is a conflict between the function name BnTranspoPalin and another name used in the same session, use the long form BN['BnTranspoPalin'].

EXAMPLES:

> with(BN):
> BnTranspoPalin(1, 3);
 
                               [1, 3, 2, 5, 4, 6]