A375780 - cp's OEIS frontend

A375780 a(n) = Sum_{k=0..n} binomial(n,k) * (k! * S(n,k))^2, where S(,) are Stirling numbers of second kind.

n	a(n)
0	1
1	1
2	6
3	147
4	6940
5	536405
6	62352066
7	10136833063
8	2195583006072
9	611230451090409
10	212649006828729790
11	90405046457569649531
12	46115367523234055367828
13	27797472578675758999950013
14	19546873204979999617317371898
15	15858780455222184878234284613775
16	14703883436182303949571115531615216
17	15450188317599029331216704733732600017

[1, 1, 6, 147, 6940, 536405, 62352066, 10136833063, 2195583006072, 611230451090409, 212649006828729790, 90405046457569649531, 46115367523234055367828, 27797472578675758999950013, 19546873204979999617317371898, 15858780455222184878234284613775, 14703883436182303949571115531615216, 15450188317599029331216704733732600017]

cp's OEIS Frontend

A375780 a(n) = Sum_{k=0..n} binomial(n,k) * (k! * S(n,k))^2, where S(,) are Stirling numbers of second kind.

Table of values

List of values