a(n) = Sum_{k=0..n} Sum_{j=0..n-k} binomial(j+k, k)*|Stirling1(n, j+k)|*(k+1)^j.
A325138
a(n) = Sum_{k=0..n} Sum_{j=0..n-k} binomial(j+k, k)*|Stirling1(n, j+k)|*(k+1)^j.
Terms
- a(0) =1a(1) =2a(2) =8a(3) =45a(4) =320a(5) =2730a(6) =27054a(7) =304584a(8) =3832688a(9) =53233272a(10) =808045560a(11) =13297113720a(12) =235635543912
External references
- oeis: A325138