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).

1, 3, 2, 8, 18, 5, 42, 118, 90, 15, 144, 900, 1075, 450, 52, 1440, 6788, 12375, 8475, 2340, 203, 5760, 61824, 141470, 140175, 63700, 12789, 877, 75600, 586584, 1700580, 2218335, 1441440, 474614, 73668, 4140, 524160, 6064416, 21677980

Offset

1,2

Links

Table of n, a(n) for n=1..39.

Example

Triangle begins:
  [1],
  [3, 2],
  [8, 18, 5],
  [42, 118, 90, 15],
  [144, 900, 1075, 450, 52],
  ...

Crossrefs

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

Sequence in context: A107300 A285787 A047946 * A110866 A257958 A329285

Adjacent sequences: A066042 A066043 A066044 * A066046 A066047 A066048

Keyword

nonn,tabl

Author

Vladeta Jovovic, Dec 29 2001

Status

approved