A336169 - cp's OEIS frontend

A336169 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} (-1)^(n-j) * multinomial(n+(k-1)*j; n-j, {j}^k).

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	1
6	1
7	1
8	0
9	0
10	1
11	5
12	1
13	0
14	1
15	1
16	23
17	67
18	1
19	0
20	0
21	1
22	119
23	2401
24	1109
25	1
26	0
27	1
28	1
29	719
30	112681
31	347279
32	20251
33	1
34	0
35	0
36	1
37	5039
38	7479361
39	166923119
40	58370761
41	391355
42	1
43	0
44	1
45	1
46	40319
47	681040081
48	137127810959
49	302857024681
50	10693893503
51	7847155
52	1
53	0
54	0
55	1
56	362879
57	81729285121
58	182499151015439
59	3244063941457921
60	616967236620839
61	2071837562929
62	161476565
63	1
64	0
65	1

[1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 5, 1, 0, 1, 1, 23, 67, 1, 0, 0, 1, 119, 2401, 1109, 1, 0, 1, 1, 719, 112681, 347279, 20251, 1, 0, 0, 1, 5039, 7479361, 166923119, 58370761, 391355, 1, 0, 1, 1, 40319, 681040081, 137127810959, 302857024681, 10693893503, 7847155, 1, 0, 0, 1, 362879, 81729285121, 182499151015439, 3244063941457921, 616967236620839, 2071837562929, 161476565, 1, 0, 1]

cp's OEIS Frontend

A336169 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} (-1)^(n-j) * multinomial(n+(k-1)*j; n-j, {j}^k).

Table of values

List of values