OFFSET
0,4
COMMENTS
The row polynomials p(n,x) (rising powers of x) appear as numerators of the column g.f.s of triangle A060058.
LINKS
W. Lang, First 8 rows.
FORMULA
The row polynomials p(n, x) := Sum_{m=0..n} a(n, m)*x^m satisfy the differential equation: p(n, x) = x*((1-x)^2)*(d^2/dx^2)p(n-1, x) + (1+6*(n-1)*x+(5-6*n)*x^2)*(d/dx)p(n-1, x) + (3*n-2)*(1+(3*n-2)*x)*p(n-1, x), n >= 1, with input p(0, x)=1. - Wolfdieter Lang, Feb 13 2004
EXAMPLE
Triangle begins:
{1};
{1,1};
{5,26,9}; <-- p(2,n)=5+26*x+9*x^2.
{61,775,1179,225};
...
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Mar 16 2001
STATUS
approved