A105954 - cp's OEIS frontend

A105954 Array read by descending antidiagonals: A(n, k) = (n + 1)! * H(k, n + 1), where H(n, k) is a higher-order harmonic number, H(0, k) = 1/k and H(n, k) = Sum_{j=1..k} H(n-1, j), for 0 <= k <= n.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	2
6	1
7	5
8	11
9	6
10	1
11	7
12	26
13	50
14	24
15	1
16	9
17	47
18	154
19	274
20	120
21	1
22	11
23	74
24	342
25	1044
26	1764
27	720
28	1
29	13
30	107
31	638
32	2754
33	8028
34	13068
35	5040
36	1
37	15
38	146
39	1066
40	5944
41	24552
42	69264
43	109584
44	40320
45	1
46	17
47	191
48	1650
49	11274
50	60216
51	241128
52	663696
53	1026576
54	362880

[1, 1, 1, 1, 3, 2, 1, 5, 11, 6, 1, 7, 26, 50, 24, 1, 9, 47, 154, 274, 120, 1, 11, 74, 342, 1044, 1764, 720, 1, 13, 107, 638, 2754, 8028, 13068, 5040, 1, 15, 146, 1066, 5944, 24552, 69264, 109584, 40320, 1, 17, 191, 1650, 11274, 60216, 241128, 663696, 1026576, 362880]

cp's OEIS Frontend

A105954 Array read by descending antidiagonals: A(n, k) = (n + 1)! * H(k, n + 1), where H(n, k) is a higher-order harmonic number, H(0, k) = 1/k and H(n, k) = Sum_{j=1..k} H(n-1, j), for 0 <= k <= n.

Table of values

List of values