a(n) = Sum_{k>=0} (Gamma(3*n+k-1)*Gamma((k+2)/3)/(Gamma(k)*Gamma(k+1)*Gamma(n-1/3+k/3)))/(3^(n-1)*exp(1)). Dobinski-type relation.
A271049
a(n) = Sum_{k>=0} (Gamma(3*n+k-1)*Gamma((k+2)/3)/(Gamma(k)*Gamma(k+1)*Gamma(n-1/3+k/3)))/(3^(n-1)*exp(1)). Dobinski-type relation.
Terms
- a(0) =1a(1) =3a(2) =105a(3) =9157a(4) =1467989a(5) =372555091a(6) =136839757533
External references
- oeis: A271049