A059329 - cp's OEIS frontend

A059329 Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.

n	a(n)
0	1
1	2
2	7
3	12
4	25
5	38
6	63
7	88
8	129
9	170
10	231
11	292
12	377
13	462
14	575
15	688
16	833
17	978
18	1159
19	1340
20	1561
21	1782
22	2047
23	2312
24	2625
25	2938
26	3303
27	3668
28	4089
29	4510
30	4991
31	5472
32	6017
33	6562
34	7175
35	7788
36	8473
37	9158
38	9919
39	10680
40	11521
41	12362
42	13287
43	14212

[1, 2, 7, 12, 25, 38, 63, 88, 129, 170, 231, 292, 377, 462, 575, 688, 833, 978, 1159, 1340, 1561, 1782, 2047, 2312, 2625, 2938, 3303, 3668, 4089, 4510, 4991, 5472, 6017, 6562, 7175, 7788, 8473, 9158, 9919, 10680, 11521, 12362, 13287, 14212]

cp's OEIS Frontend

A059329 Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.

Table of values

List of values