A144702 - cp's OEIS frontend

A144702 Numerators of triangle S(n,k), n>=0, 0<=k<=ceiling((3n+1)/2): S(n,k) is the coefficient of x^k in polynomial s_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.

n	a(n)
0	1
1	1
2	1
3	1
4	-1
5	1
6	1
7	0
8	-1
9	1
10	1
11	5
12	0
13	-5
14	5
15	-3
16	1
17	21
18	0
19	-35
20	0
21	63
22	-7
23	15
24	1
25	3
26	0
27	-7
28	0
29	21
30	-14
31	15
32	-3
33	1
34	25
35	0
36	-15
37	0
38	63
39	0
40	-75
41	45
42	-175
43	2
44	1
45	55
46	0
47	-165
48	0
49	231
50	0
51	-825
52	165
53	-1925
54	22
55	-105
56	1
57	455
58	0
59	-715
60	0
61	3861
62	0
63	-2145
64	0
65	25025
66	-143
67	12285
68	-65

[1, 1, 1, 1, -1, 1, 1, 0, -1, 1, 1, 5, 0, -5, 5, -3, 1, 21, 0, -35, 0, 63, -7, 15, 1, 3, 0, -7, 0, 21, -14, 15, -3, 1, 25, 0, -15, 0, 63, 0, -75, 45, -175, 2, 1, 55, 0, -165, 0, 231, 0, -825, 165, -1925, 22, -105, 1, 455, 0, -715, 0, 3861, 0, -2145, 0, 25025, -143, 12285, -65]

cp's OEIS Frontend

A144702 Numerators of triangle S(n,k), n>=0, 0<=k<=ceiling((3n+1)/2): S(n,k) is the coefficient of x^k in polynomial s_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.

Table of values

List of values