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A332371 Consider a partition of the plane (a_1,a_2) in R X R by the lines a_1*x_1 + a_2*x_2 = 1 for 0 <= x_1 <= m-1, 1 <= x_2 <= 1-1. The cells are (generalized) triangles and quadrilaterals. Triangle read by rows: T(m,n) = total number of cells in the partition for m >= n >= 2.

Table of values

n a(n)
2 7
3 14
4 29
5 23
6 50
7 87
8 34
9 75
10 132
11 201
12 47
13 106
14 189
15 290
16 419
17 62
18 141
19 252
20 387
21 560
22 749
23 79
24 182
25 327
26 504
27 731
28 980
29 1283
30 98
31 227
32 410
33 633
34 920
35 1235
36 1618
37 2041
38 119
39 278
40 503
41 778
42 1133
43 1522
44 1995
45 2518
46 3107
47 142
48 333
49 604
50 935
51 1362
52 1829
53 2398
54 3027
55 3736
56 4493

List of values

[7, 14, 29, 23, 50, 87, 34, 75, 132, 201, 47, 106, 189, 290, 419, 62, 141, 252, 387, 560, 749, 79, 182, 327, 504, 731, 980, 1283, 98, 227, 410, 633, 920, 1235, 1618, 2041, 119, 278, 503, 778, 1133, 1522, 1995, 2518, 3107, 142, 333, 604, 935, 1362, 1829, 2398, 3027, 3736, 4493]