A322219 - cp's OEIS frontend

A322219 E.g.f.: S(x,q) = Integral C(x,q) * C(qx,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where S(x,q) = Sum_{n>=0} sum_{k=0..n(n+1)/2} T(n,k)x^ny^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	10
5	1
6	4
7	1
8	35
9	91
10	85
11	20
12	16
13	24
14	1
15	84
16	966
17	1324
18	2737
19	632
20	1200
21	288
22	384
23	128
24	192
25	1
26	165
27	5082
28	26818
29	50941
30	64329
31	69816
32	49872
33	27568
34	19776
35	16448
36	10176
37	5760
38	3840
39	1280
40	1920
41	1
42	286
43	18447
44	279136
45	954239
46	2550054
47	2455233
48	4013788
49	2929104
50	3264864
51	1176640
52	1815552
53	834752
54	731136
55	394752
56	491264
57	141056
58	164352
59	69120
60	46080
61	15360
62	23040
63	1
64	455
65	53053
66	1780207
67	15627183
68	51699869
69	128611679
70	187372653
71	213804652
72	257006976
73	245800968
74	195109120
75	161177792
76	123750592
77	83792000
78	69316224
79	52893696
80	35140992
81	28215808
82	18433536
83	12687360
84	8411648
85	5945856
86	2673664
87	2300928
88	967680
89	645120
90	215040
91	322560

[1, 1, 1, 1, 10, 1, 4, 1, 35, 91, 85, 20, 16, 24, 1, 84, 966, 1324, 2737, 632, 1200, 288, 384, 128, 192, 1, 165, 5082, 26818, 50941, 64329, 69816, 49872, 27568, 19776, 16448, 10176, 5760, 3840, 1280, 1920, 1, 286, 18447, 279136, 954239, 2550054, 2455233, 4013788, 2929104, 3264864, 1176640, 1815552, 834752, 731136, 394752, 491264, 141056, 164352, 69120, 46080, 15360, 23040, 1, 455, 53053, 1780207, 15627183, 51699869, 128611679, 187372653, 213804652, 257006976, 245800968, 195109120, 161177792, 123750592, 83792000, 69316224, 52893696, 35140992, 28215808, 18433536, 12687360, 8411648, 5945856, 2673664, 2300928, 967680, 645120, 215040, 322560]

cp's OEIS Frontend

A322219 E.g.f.: S(x,q) = Integral C(x,q) * C(qx,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where S(x,q) = Sum_{n>=0} sum_{k=0..n(n+1)/2} T(n,k)x^ny^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.

Table of values

List of values

cp's OEIS Frontend

A322219 E.g.f.: S(x,q) = Integral C(x,q) * C(q*x,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where S(x,q) = Sum_{n>=0} sum_{k=0..n*(n+1)/2} T(n,k)*x^n*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.

Table of values

List of values

A322219 E.g.f.: S(x,q) = Integral C(x,q) * C(qx,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where S(x,q) = Sum_{n>=0} sum_{k=0..n(n+1)/2} T(n,k)x^ny^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.