A385567 - cp's OEIS frontend

A385567 Triangle read by rows: T(n,k) is the numerator 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	1
3	1
4	0
5	-1
6	1
7	-1
8	0
9	1
10	1
11	-4
12	2
13	0
14	-1
15	1
16	-5
17	3
18	-3
19	0
20	5
21	1
22	-4
23	17
24	-10
25	5
26	0
27	-691
28	1
29	-35
30	287
31	-118
32	691
33	-691
34	0
35	7
36	1
37	-8
38	112
39	-352
40	718
41	-280
42	140
43	0
44	-3617
45	1
46	-21
47	66
48	-293
49	4557
50	-3711
51	10851
52	-10851
53	0
54	43867
55	1
56	-40
57	217
58	-4516
59	2829
60	-26332
61	750167
62	-438670
63	219335
64	0
65	-174611

[1, 1, 1, 1, 0, -1, 1, -1, 0, 1, 1, -4, 2, 0, -1, 1, -5, 3, -3, 0, 5, 1, -4, 17, -10, 5, 0, -691, 1, -35, 287, -118, 691, -691, 0, 7, 1, -8, 112, -352, 718, -280, 140, 0, -3617, 1, -21, 66, -293, 4557, -3711, 10851, -10851, 0, 43867, 1, -40, 217, -4516, 2829, -26332, 750167, -438670, 219335, 0, -174611]

cp's OEIS Frontend

A385567 Triangle read by rows: T(n,k) is the numerator 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

A385567 Triangle read by rows: T(n,k) is the numerator 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

A385567 Triangle read by rows: T(n,k) is the numerator 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.