A386728 - cp's OEIS frontend

A386728 Triangle read by rows: T(n,k) is the denominator of A(n,k), such that A(n,k) satisfies the identity for sums of odd powers: Sum_{k=1..p} k^(2n-1) = 1/(2n) Sum_{k=0..n-1} A(n,k) * (p^2+p)^(n-k), for all integers p >= 1.

n	a(n)
0	1
1	1
2	6
3	1
4	1
5	30
6	1
7	2
8	1
9	42
10	1
11	3
12	3
13	1
14	30
15	1
16	2
17	1
18	2
19	1
20	66
21	1
22	1
23	2
24	1
25	1
26	1
27	2730
28	1
29	6
30	15
31	3
32	15
33	30
34	1
35	6
36	1
37	1
38	3
39	3
40	3
41	1
42	1
43	1
44	510
45	1
46	2
47	1
48	1
49	5
50	2
51	5
52	10
53	1
54	798
55	1
56	3
57	2
58	7
59	1
60	3
61	42
62	21
63	21
64	1
65	330
66	1
67	2
68	3
69	2
70	1
71	6
72	15
73	3
74	5
75	10
76	1
77	138
78	1

[1, 1, 6, 1, 1, 30, 1, 2, 1, 42, 1, 3, 3, 1, 30, 1, 2, 1, 2, 1, 66, 1, 1, 2, 1, 1, 1, 2730, 1, 6, 15, 3, 15, 30, 1, 6, 1, 1, 3, 3, 3, 1, 1, 1, 510, 1, 2, 1, 1, 5, 2, 5, 10, 1, 798, 1, 3, 2, 7, 1, 3, 42, 21, 21, 1, 330, 1, 2, 3, 2, 1, 6, 15, 3, 5, 10, 1, 138, 1]

cp's OEIS Frontend

A386728 Triangle read by rows: T(n,k) is the denominator of A(n,k), such that A(n,k) satisfies the identity for sums of odd powers: Sum_{k=1..p} k^(2n-1) = 1/(2n) Sum_{k=0..n-1} A(n,k) * (p^2+p)^(n-k), for all integers p >= 1.

Table of values

List of values

cp's OEIS Frontend

A386728 Triangle read by rows: T(n,k) is the denominator of A(n,k), such that A(n,k) satisfies the identity for sums of odd powers: Sum_{k=1..p} k^(2n-1) = 1/(2*n) * Sum_{k=0..n-1} A(n,k) * (p^2+p)^(n-k), for all integers p >= 1.

Table of values

List of values

A386728 Triangle read by rows: T(n,k) is the denominator of A(n,k), such that A(n,k) satisfies the identity for sums of odd powers: Sum_{k=1..p} k^(2n-1) = 1/(2n) Sum_{k=0..n-1} A(n,k) * (p^2+p)^(n-k), for all integers p >= 1.