A066045 - OEIS

A066045

Triangle T(n,k) defined by Sum_{1<=k<=n} T(n,k)*u^k*t^n/n! = exp(((1-t)*(1-t^2)*(1-t^3)...)^(-u)-1).

%I #9 Sep 29 2023 18:32:06

%S 1,3,2,8,18,5,42,118,90,15,144,900,1075,450,52,1440,6788,12375,8475,

%T 2340,203,5760,61824,141470,140175,63700,12789,877,75600,586584,

%U 1700580,2218335,1441440,474614,73668,4140,524160,6064416,21677980

%N Triangle T(n,k) defined by Sum_{1<=k<=n} T(n,k)*u^k*t^n/n! = exp(((1-t)*(1-t^2)*(1-t^3)...)^(-u)-1).

%e Triangle begins:

%e [1],

%e [3, 2],

%e [8, 18, 5],

%e [42, 118, 90, 15],

%e [144, 900, 1075, 450, 52],

%e ...

%Y Cf. A058892 (row sums), A000110, A008298, A038048.

%K nonn,tabl

%O 1,2

%A _Vladeta Jovovic_, Dec 29 2001