O.g.f.: A(x) = Sum_{n>=0} n^n * x^n/n! * P(n*x)^n * exp(-n*x*P(n*x)), where P(x) is the partition function (A000041).
A218824
O.g.f.: A(x) = Sum_{n>=0} n^n * x^n/n! * P(n*x)^n * exp(-n*x*P(n*x)), where P(x) is the partition function (A000041).
Terms
- a(0) =1a(1) =1a(2) =2a(3) =9a(4) =57a(5) =421a(6) =3593a(7) =34557a(8) =366832a(9) =4251094a(10) =53238166a(11) =714702779a(12) =10221402872a(13) =154913725486
External references
- oeis: A218824