A096798 Triangle, read by rows, where T(n,k) = (k/n)*Sum_{d|n} A096797(d,k).

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, -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, 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

Offset

1,2

Comments

The first column forms the partition numbers (A000041).

Links

Table of n, a(n) for n=1..91.

Example

Rows begin:
[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,-65,33,0,0,0,0,1],
[30,-128,102,-12,0,0,0,0,1],
[42,-225,255,-62,2,0,0,0,0,1],
[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],
[135,-1681,4941,-4926,1680,-147,2,0,0,0,0,0,0,1],...

Crossrefs

Cf. A000041, A008284, A096797.

Sequence in context: A130026 A113287 A195665 * A158902 A137587 A168021

Adjacent sequences: A096795 A096796 A096797 * A096799 A096800 A096801

Keyword

sign,tabl

Author

Paul D. Hanna, Jul 13 2004

Status

approved