OFFSET
0,5
EXAMPLE
First few rows of the triangle as polynomials are:
x^0
x^1 - 1x^0
x^2 - 2x^1
x^3 - 4x^2 + 4x^1
x^4 - 8x^3 + 12x^2
x^5 - 16x^4 + 76x^3 - 96x^2
x^6 - 32x^5 + 260x^4 - 400x^3
x^7 - 64x^6 + 1324x^5 - 9600x^4 + 14400x^3
...
The 4x4 matrix = [1,0,0,1; 0,3,3,0; 0,3,3,0; 1,0,0,1]; (i.e., a bisymmetric matrix with (1,3,3,1) as both diagonals and the rest zeros). Charpoly = x^4 - 8x^3 + 12x^2.
PROG
(PARI) row(n) = Vec(charpoly(matrix(n, n, i, j, if (i==j, binomial(n-1, i-1), if (i+j==n+1, binomial(n-1, n-i))))), 1+ceil(n/2)); \\ Michel Marcus, Feb 08 2023
CROSSREFS
KEYWORD
sign,tabf
AUTHOR
Gary W. Adamson and Roger L. Bagula, May 23 2008
STATUS
approved