OFFSET
0,2
COMMENTS
FORMULA
a(k, p) := [x^p]N(3; k, x) with N(3; k, x)=(N(3; k-1, x)-A001764(k)*(1-x)^(2*k+1))/x, N(3; 0, x) := 1.
a(n, k)= a(n-1, k+1)+((-1)^k)*binomial(2*n+1, k+1)*binomial(3*n+1, n)/(3*n+1) if k=0, .., (2*n-3); a(n, k)= ((-1)^k)*binomial(2*n+1, k+1)*binomial(3*n+1, n)/(3*n+1) if k=(2*n-2), ..., 2*n; else 0.
EXAMPLE
{1}; {3,-3,1}; {12,-29,30,-15,3}; ...; N(3; 1,x)= 3-3*x+x^2.
CROSSREFS
KEYWORD
sign,easy,tabf
AUTHOR
Wolfdieter Lang, Jul 12 2001
STATUS
approved