A214540 - cp's OEIS frontend

A214540 T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.

n	a(n)
1	2
2	3
3	2
4	4
5	5
6	2
7	5
8	8
9	15
10	2
11	6
12	13
13	38
14	93
15	2
16	7
17	18
18	79
19	344
20	1007
21	2
22	8
23	25
24	152
25	1181
26	5360
27	17213
28	2
29	9
30	32
31	263
32	3198
33	35567
34	141470
35	461465
36	2
37	10
38	41
39	418
40	7801
41	155102
42	2280331
43	6042900
44	19166997
45	2
46	11
47	50
48	643
49	16752
50	562559
51	15986168
52	292689331

[2, 3, 2, 4, 5, 2, 5, 8, 15, 2, 6, 13, 38, 93, 2, 7, 18, 79, 344, 1007, 2, 8, 25, 152, 1181, 5360, 17213, 2, 9, 32, 263, 3198, 35567, 141470, 461465, 2, 10, 41, 418, 7801, 155102, 2280331, 6042900, 19166997, 2, 11, 50, 643, 16752, 562559, 15986168, 292689331]

cp's OEIS Frontend

A214540 T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.

Table of values

List of values