A223168 - cp's OEIS frontend

A223168 Triangle S(n, k) by rows: coefficients of 2^((n-1)/2)(x^(1/2)d/dx)^n when n is odd, and of 2^(n/2)(x^(1/2)d/dx)^n when n is even.

n	a(n)
0	1
1	1
2	2
3	3
4	2
5	3
6	12
7	4
8	15
9	20
10	4
11	15
12	90
13	60
14	8
15	105
16	210
17	84
18	8
19	105
20	840
21	840
22	224
23	16
24	945
25	2520
26	1512
27	288
28	16
29	945
30	9450
31	12600
32	5040
33	720
34	32
35	10395
36	34650
37	27720
38	7920
39	880
40	32
41	10395
42	124740
43	207900
44	110880
45	23760
46	2112
47	64
48	135135
49	540540
50	540540
51	205920
52	34320
53	2496
54	64

[1, 1, 2, 3, 2, 3, 12, 4, 15, 20, 4, 15, 90, 60, 8, 105, 210, 84, 8, 105, 840, 840, 224, 16, 945, 2520, 1512, 288, 16, 945, 9450, 12600, 5040, 720, 32, 10395, 34650, 27720, 7920, 880, 32, 10395, 124740, 207900, 110880, 23760, 2112, 64, 135135, 540540, 540540, 205920, 34320, 2496, 64]

cp's OEIS Frontend

A223168 Triangle S(n, k) by rows: coefficients of 2^((n-1)/2)(x^(1/2)d/dx)^n when n is odd, and of 2^(n/2)(x^(1/2)d/dx)^n when n is even.

Table of values

List of values

cp's OEIS Frontend

A223168 Triangle S(n, k) by rows: coefficients of 2^((n-1)/2)*(x^(1/2)*d/dx)^n when n is odd, and of 2^(n/2)*(x^(1/2)*d/dx)^n when n is even.

Table of values

List of values

A223168 Triangle S(n, k) by rows: coefficients of 2^((n-1)/2)(x^(1/2)d/dx)^n when n is odd, and of 2^(n/2)(x^(1/2)d/dx)^n when n is even.