A382784 - cp's OEIS frontend

A382784 Irregular triangle T(n,k) read by rows of the coefficients of Pi^(2k) in the expansion of Sum_{k>=1} (1 / (4k^2-1)^n) with denominator 2^(2n)*(n-1)!.

n	a(n)
1	2
2	-8
3	1
4	64
5	-6
6	-768
7	60
8	2
9	12288
10	-840
11	-40
12	-245760
13	15120
14	840
15	16
16	5898240
17	-332640
18	-20160
19	-672
20	-165150720
21	8648640
22	554400
23	24192
24	272
25	5284823040
26	-259459200
27	-17297280
28	-887040
29	-19584
30	-190253629440
31	8821612800
32	605404800
33	34594560
34	1077120
35	7936
36	7610145177600
37	-335221286400
38	-23524300800
39	-1452971520
40	-56010240
41	-872960

[2, -8, 1, 64, -6, -768, 60, 2, 12288, -840, -40, -245760, 15120, 840, 16, 5898240, -332640, -20160, -672, -165150720, 8648640, 554400, 24192, 272, 5284823040, -259459200, -17297280, -887040, -19584, -190253629440, 8821612800, 605404800, 34594560, 1077120, 7936, 7610145177600, -335221286400, -23524300800, -1452971520, -56010240, -872960]

cp's OEIS Frontend

A382784 Irregular triangle T(n,k) read by rows of the coefficients of Pi^(2k) in the expansion of Sum_{k>=1} (1 / (4k^2-1)^n) with denominator 2^(2n)*(n-1)!.

Table of values

List of values