A096798 - OEIS

%I #3 Mar 30 2012 18:36:41

%S 1,2,1,3,0,1,5,0,0,1,7,-6,0,0,1,11,-13,2,0,0,1,15,-34,9,0,0,0,1,22,

%T -65,33,0,0,0,0,1,30,-128,102,-12,0,0,0,0,1,42,-225,255,-62,2,0,0,0,0,

%U 1,56,-394,591,-232,15,0,0,0,0,0,1,77,-649,1265,-721,100,0,0,0,0,0,0,1,101,-1064,2559,-1972,455,-18,0,0,0,0,0,0,1

%N Triangle, read by rows, where T(n,k) = (k/n)*Sum_{d|n} A096797(d,k).

%C The first column forms the partition numbers (A000041).

%e Rows begin:

%e [1],

%e [2,1],

%e [3,0,1],

%e [5,0,0,1],

%e [7,-6,0,0,1],

%e [11,-13,2,0,0,1],

%e [15,-34,9,0,0,0,1],

%e [22,-65,33,0,0,0,0,1],

%e [30,-128,102,-12,0,0,0,0,1],

%e [42,-225,255,-62,2,0,0,0,0,1],

%e [56,-394,591,-232,15,0,0,0,0,0,1],

%e [77,-649,1265,-721,100,0,0,0,0,0,0,1],

%e [101,-1064,2559,-1972,455,-18,0,0,0,0,0,0,1],

%e [135,-1681,4941,-4926,1680,-147,2,0,0,0,0,0,0,1],...

%Y Cf. A000041, A008284, A096797.

%K sign,tabl

%O 1,2

%A _Paul D. Hanna_, Jul 13 2004