A152559 Largest term in row n of triangle A152555.

1, 2, 7, 42, 495, 7436, 153361, 3853322, 116503839, 4127612326, 167061660005, 7671346786170, 392298901133895, 22113791358359574, 1365967717507556804, 91549507266620360316, 6624242349107514460269, 514871138228210665592112

Offset: 0

Author

Paul D. Hanna, Dec 07 2008

Keywords

• nonn

Comments

Compare to row sums of triangle A152555: 2*(2n+2)^(n-1).

Triangle A152555 lists coefficients in a q-analog of the function LambertW(-2x)/(-2x).

Crossrefs

Cf. A152555, A152556(q=-1), A152557 (q=2) A152558 (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=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]}