A344909 - cp's OEIS frontend

A344909 T(n, k) = numerator([x^k] [z^n] ((1 - iz)/(1 + iz))^(ix)(1 + z^2)^(-3/4)). Numerators of the coefficients of the symmetric Meixner-Pollaczek polynomials P^(3/4)_{n}(x, Pi/2). Triangle read by rows, T(n, k) for 0 <= k <= n.

n	a(n)
0	1
1	0
2	2
3	-3
4	0
5	2
6	0
7	-13
8	0
9	4
10	21
11	0
12	-17
13	0
14	2
15	0
16	177
17	0
18	-7
19	0
20	4
21	-77
22	0
23	2401
24	0
25	-25
26	0
27	4
28	0
29	-4987
30	0
31	1123
32	0
33	-29
34	0
35	8
36	1155
37	0
38	-24749
39	0
40	1499
41	0
42	-11
43	0
44	2
45	0
46	718657
47	0
48	-341521
49	0
50	1157
51	0
52	-74
53	0
54	4
55	-4389
56	0
57	6361429
58	0
59	-495469
60	0
61	2411
62	0
63	-41
64	0
65	4

[1, 0, 2, -3, 0, 2, 0, -13, 0, 4, 21, 0, -17, 0, 2, 0, 177, 0, -7, 0, 4, -77, 0, 2401, 0, -25, 0, 4, 0, -4987, 0, 1123, 0, -29, 0, 8, 1155, 0, -24749, 0, 1499, 0, -11, 0, 2, 0, 718657, 0, -341521, 0, 1157, 0, -74, 0, 4, -4389, 0, 6361429, 0, -495469, 0, 2411, 0, -41, 0, 4]

cp's OEIS Frontend

A344909 T(n, k) = numerator([x^k] [z^n] ((1 - iz)/(1 + iz))^(ix)(1 + z^2)^(-3/4)). Numerators of the coefficients of the symmetric Meixner-Pollaczek polynomials P^(3/4)_{n}(x, Pi/2). Triangle read by rows, T(n, k) for 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A344909 T(n, k) = numerator([x^k] [z^n] ((1 - i*z)/(1 + i*z))^(i*x)*(1 + z^2)^(-3/4)). Numerators of the coefficients of the symmetric Meixner-Pollaczek polynomials P^(3/4)_{n}(x, Pi/2). Triangle read by rows, T(n, k) for 0 <= k <= n.

Table of values

List of values

A344909 T(n, k) = numerator([x^k] [z^n] ((1 - iz)/(1 + iz))^(ix)(1 + z^2)^(-3/4)). Numerators of the coefficients of the symmetric Meixner-Pollaczek polynomials P^(3/4)_{n}(x, Pi/2). Triangle read by rows, T(n, k) for 0 <= k <= n.