A322218 - cp's OEIS frontend

A322218 E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(qx,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where C(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	4
4	1
5	20
6	16
7	24
8	1
9	56
10	336
11	288
12	384
13	128
14	192
15	1
16	120
17	2352
18	6448
19	12736
20	5888
21	10176
22	5760
23	3840
24	1280
25	1920
26	1
27	220
28	10032
29	93280
30	214016
31	472704
32	385472
33	431616
34	294912
35	341504
36	141056
37	164352
38	69120
39	46080
40	15360
41	23040
42	1
43	364
44	32032
45	740168
46	4072640
47	11702912
48	18676672
49	30112640
50	23848704
51	27599616
52	17884032
53	20958208
54	13595136
55	11074560
56	5992448
57	5945856
58	2673664
59	2300928
60	967680
61	645120
62	215040
63	322560
64	1
65	560
66	84448
67	3952832
68	53301248
69	230161152
70	738249344
71	1166436352
72	1970874368
73	2196244480
74	2459786240
75	1804101632
76	2061498368
77	1537437696
78	1437724672
79	989968384
80	921092096
81	487923712
82	499621888
83	282034176
84	211599360
85	117383168
86	108036096
87	42778624
88	36814848
89	15482880
90	10321920
91	3440640
92	5160960

[1, 1, 1, 4, 1, 20, 16, 24, 1, 56, 336, 288, 384, 128, 192, 1, 120, 2352, 6448, 12736, 5888, 10176, 5760, 3840, 1280, 1920, 1, 220, 10032, 93280, 214016, 472704, 385472, 431616, 294912, 341504, 141056, 164352, 69120, 46080, 15360, 23040, 1, 364, 32032, 740168, 4072640, 11702912, 18676672, 30112640, 23848704, 27599616, 17884032, 20958208, 13595136, 11074560, 5992448, 5945856, 2673664, 2300928, 967680, 645120, 215040, 322560, 1, 560, 84448, 3952832, 53301248, 230161152, 738249344, 1166436352, 1970874368, 2196244480, 2459786240, 1804101632, 2061498368, 1537437696, 1437724672, 989968384, 921092096, 487923712, 499621888, 282034176, 211599360, 117383168, 108036096, 42778624, 36814848, 15482880, 10321920, 3440640, 5160960]

cp's OEIS Frontend

A322218 E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(qx,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where C(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

A322218 E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(q*x,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where C(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

A322218 E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(qx,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where C(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.