A271049 - cp's OEIS frontend

A271049 a(n) = Sum_{k>=0} (Gamma(3n+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.

n	a(n)
0	1
1	3
2	105
3	9157
4	1467989
5	372555091
6	136839757533
7	68506049319485
8	44775766291961897
9	36988728433561712899
10	37653691956186855176881
11	46283247358178623165789813
12	67556279347568889520823938365
13	115470391901500605263068596360787

[1, 3, 105, 9157, 1467989, 372555091, 136839757533, 68506049319485, 44775766291961897, 36988728433561712899, 37653691956186855176881, 46283247358178623165789813, 67556279347568889520823938365, 115470391901500605263068596360787]

cp's OEIS Frontend

A271049 a(n) = Sum_{k>=0} (Gamma(3n+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.

Table of values

List of values

cp's OEIS Frontend

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.

Table of values

List of values

A271049 a(n) = Sum_{k>=0} (Gamma(3n+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.