A152554 Largest term in row n of triangle A152550.

1, 1, 3, 16, 180, 2640, 52934, 1307556, 39067428, 1369499060, 54995284784, 2507211396061, 127388480252917, 7144814127814222, 439553511977812220, 29347225935730588372, 2116793087420823777580, 164035715631344596393196

Offset: 0

Author

Paul D. Hanna, Dec 07 2008

Keywords

• nonn

Comments

Compare to row sums of triangle A152550: (2n+1)^(n-1).

Triangle A152550 lists coefficients in a q-analog of the function [LambertW(-2x)/(-2x)]^(1/2).

Crossrefs

Cf. A152550, A152551 (q=-1), A152552 (q=2), A152553 (q=3).

Programs

PARI

{a(n)=local(e_q=1+sum(j=1,n,x^j/prod(i=1,j,(q^i-1)/(q-1))), LW2_q=sqrt(serreverse(x/(e_q+x*O(x^n))^2)/x)); vecsort(Vec(polcoeff(LW2_q+x*O(x^n),n,x)*prod(i=1,n,(q^i-1)/(q-1))))[n*(n-1)/2+1]}