A097749 - cp's OEIS frontend

A097749 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations Sum_{j=i..r} T(r,j)A(j,i)2^-floor((j+3)/2) = 0 if i != r, = (2r+1)!/(r!*2^r) if i = r.

n	a(n)
0	2
1	1
2	2
3	-1
4	10
5	6
6	5
7	-35
8	105
9	30
10	-63
11	420
12	-882
13	1260
14	210
15	1576
16	-10395
17	20790
18	-20790
19	17325
20	1890
21	-68409
22	450450
23	-891891
24	849420
25	-495495
26	270270
27	20790
28	4729726
29	-31126095
30	61486425
31	-57972915
32	32207175
33	-12297285
34	4729725
35	270270

[2, 1, 2, -1, 10, 6, 5, -35, 105, 30, -63, 420, -882, 1260, 210, 1576, -10395, 20790, -20790, 17325, 1890, -68409, 450450, -891891, 849420, -495495, 270270, 20790, 4729726, -31126095, 61486425, -57972915, 32207175, -12297285, 4729725, 270270]

cp's OEIS Frontend

A097749 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations Sum_{j=i..r} T(r,j)A(j,i)2^-floor((j+3)/2) = 0 if i != r, = (2r+1)!/(r!*2^r) if i = r.

Table of values

List of values

cp's OEIS Frontend

A097749 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations Sum_{j=i..r} T(r,j)*A(j,i)*2^-floor((j+3)/2) = 0 if i != r, = (2r+1)!/(r!*2^r) if i = r.

Table of values

List of values

A097749 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations Sum_{j=i..r} T(r,j)A(j,i)2^-floor((j+3)/2) = 0 if i != r, = (2r+1)!/(r!*2^r) if i = r.