A185095 - cp's OEIS frontend

A185095 Rectangular array read by antidiagonals: row q has generating function F_q(x) = sum_{r=0,...,q-1} ((q-r)(-1)^rbinomial(2q-r,r)x^r) / sum_{s=0,...,q} ((-1)^sbinomial(2q-s,s)*x^s), where q=1,2,....

n	a(n)
0	1
1	2
2	1
3	3
4	3
5	1
6	4
7	5
8	7
9	1
10	5
11	7
12	13
13	18
14	1
15	6
16	9
17	19
18	38
19	47
20	1
21	7
22	11
23	25
24	58
25	117
26	123
27	1
28	8
29	13
30	31
31	78
32	187
33	370
34	322
35	1
36	9
37	15
38	37
39	98
40	257
41	622
42	1186
43	843
44	1
45	10
46	17
47	43
48	118
49	327
50	874
51	2110
52	3827
53	2207
54	1
55	11
56	19
57	49
58	138
59	397
60	1126
61	3034
62	7252
63	12389
64	5778
65	1

[1, 2, 1, 3, 3, 1, 4, 5, 7, 1, 5, 7, 13, 18, 1, 6, 9, 19, 38, 47, 1, 7, 11, 25, 58, 117, 123, 1, 8, 13, 31, 78, 187, 370, 322, 1, 9, 15, 37, 98, 257, 622, 1186, 843, 1, 10, 17, 43, 118, 327, 874, 2110, 3827, 2207, 1, 11, 19, 49, 138, 397, 1126, 3034, 7252, 12389, 5778, 1]

cp's OEIS Frontend

A185095 Rectangular array read by antidiagonals: row q has generating function F_q(x) = sum_{r=0,...,q-1} ((q-r)(-1)^rbinomial(2q-r,r)x^r) / sum_{s=0,...,q} ((-1)^sbinomial(2q-s,s)*x^s), where q=1,2,....

Table of values

List of values

cp's OEIS Frontend

A185095 Rectangular array read by antidiagonals: row q has generating function F_q(x) = sum_{r=0,...,q-1} ((q-r)*(-1)^r*binomial(2*q-r,r)*x^r) / sum_{s=0,...,q} ((-1)^s*binomial(2*q-s,s)*x^s), where q=1,2,....

Table of values

List of values

A185095 Rectangular array read by antidiagonals: row q has generating function F_q(x) = sum_{r=0,...,q-1} ((q-r)(-1)^rbinomial(2q-r,r)x^r) / sum_{s=0,...,q} ((-1)^sbinomial(2q-s,s)*x^s), where q=1,2,....