A336290 - cp's OEIS frontend

A336290 a(0) = 1; a(n) = n! * Sum_{k=1..n} binomial(n-1,k-1) * H(k) * a(n-k) / (n-k)!, where H(k) is the k-th harmonic number.

n	a(n)
0	1
1	1
2	5
3	44
4	628
5	12994
6	363548
7	13141974
8	593579712
9	32644440048
10	2141946861312
11	164937634714896
12	14703536203936512
13	1500149281670010048
14	173464224256287048576
15	22541427301008492798144
16	3267767649638304967827456
17	525055667919614566758512640

[1, 1, 5, 44, 628, 12994, 363548, 13141974, 593579712, 32644440048, 2141946861312, 164937634714896, 14703536203936512, 1500149281670010048, 173464224256287048576, 22541427301008492798144, 3267767649638304967827456, 525055667919614566758512640]

cp's OEIS Frontend

A336290 a(0) = 1; a(n) = n! * Sum_{k=1..n} binomial(n-1,k-1) * H(k) * a(n-k) / (n-k)!, where H(k) is the k-th harmonic number.

Table of values

List of values