A268512 - cp's OEIS frontend

A268512 Triangle of coefficients c(n,i), 1<=i<=n, such that for each n>=2, c(n,i) are setwise coprime; and for all primes p>2n-1, the sum of (-1)^ic(n,i)binomial(i*p,p) is divisible by p^(2n-1).

n	a(n)
1	1
2	2
3	1
4	12
5	9
6	2
7	60
8	54
9	20
10	3
11	840
12	840
13	400
14	105
15	12
16	2520
17	2700
18	1500
19	525
20	108
21	10
22	27720
23	31185
24	19250
25	8085
26	2268
27	385
28	30
29	360360
30	420420
31	280280
32	133770
33	45864
34	10780
35	1560
36	105
37	720720
38	864864
39	611520
40	321048
41	127008
42	36960
43	7488
44	945
45	56
46	12252240
47	15036840
48	11138400
49	6297480
50	2776032
51	942480

[1, 2, 1, 12, 9, 2, 60, 54, 20, 3, 840, 840, 400, 105, 12, 2520, 2700, 1500, 525, 108, 10, 27720, 31185, 19250, 8085, 2268, 385, 30, 360360, 420420, 280280, 133770, 45864, 10780, 1560, 105, 720720, 864864, 611520, 321048, 127008, 36960, 7488, 945, 56, 12252240, 15036840, 11138400, 6297480, 2776032, 942480]

cp's OEIS Frontend

A268512 Triangle of coefficients c(n,i), 1<=i<=n, such that for each n>=2, c(n,i) are setwise coprime; and for all primes p>2n-1, the sum of (-1)^ic(n,i)binomial(i*p,p) is divisible by p^(2n-1).

Table of values

List of values

cp's OEIS Frontend

A268512 Triangle of coefficients c(n,i), 1<=i<=n, such that for each n>=2, c(n,i) are setwise coprime; and for all primes p>2n-1, the sum of (-1)^i*c(n,i)*binomial(i*p,p) is divisible by p^(2n-1).

Table of values

List of values

A268512 Triangle of coefficients c(n,i), 1<=i<=n, such that for each n>=2, c(n,i) are setwise coprime; and for all primes p>2n-1, the sum of (-1)^ic(n,i)binomial(i*p,p) is divisible by p^(2n-1).