OFFSET
1,4
COMMENTS
EXAMPLE
Generation of the triangle:
We begin with A050166 (triangle)
1
1 2
1 4 5
1 6 14 14
1 8 27 48 42
...
and get polynomials
x - 1
x^2 - 3*x + 2
x^3 - 8*x^2 + 17*x - 10
x^4 - 22*x^3 + 129*x^2 - 248*x + 140
x^5 - 64*x^4 + 1053*x^3 - 5666*x^2 + 10556*x - 5880
...
PROG
(PARI) a(n, k)=binomial(2*n+1, k)*2*(n-k+1)/(2*n-k+2); CM(n)=M=matrix(n, n); for(l=0, n-1, for(k=0, l, M[l+1, k+1]=a(l, k))); M for(i=1, 10, print(charpoly(CM(i)))) for(i=1, 10, print(round(real(polroots(charpoly(CM(i)))))))
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Lambert Klasen (lambert.klasen(AT)gmx.net) and Gary W. Adamson, Jan 29 2005
STATUS
approved