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A344499 T(n, k) = F(n - k, k), where F(n, x) is the Fubini polynomial. Triangle read by rows, T(n, k) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 1
6 0
7 3
8 2
9 1
10 0
11 13
12 10
13 3
14 1
15 0
16 75
17 74
18 21
19 4
20 1
21 0
22 541
23 730
24 219
25 36
26 5
27 1
28 0
29 4683
30 9002
31 3045
32 484
33 55
34 6
35 1
36 0
37 47293
38 133210
39 52923
40 8676
41 905
42 78
43 7
44 1
45 0
46 545835
47 2299754
48 1103781
49 194404
50 19855
51 1518
52 105
53 8
54 1
55 0
56 7087261
57 45375130
58 26857659
59 5227236
60 544505
61 39390
62 2359
63 136
64 9
65 1

List of values

[1, 0, 1, 0, 1, 1, 0, 3, 2, 1, 0, 13, 10, 3, 1, 0, 75, 74, 21, 4, 1, 0, 541, 730, 219, 36, 5, 1, 0, 4683, 9002, 3045, 484, 55, 6, 1, 0, 47293, 133210, 52923, 8676, 905, 78, 7, 1, 0, 545835, 2299754, 1103781, 194404, 19855, 1518, 105, 8, 1, 0, 7087261, 45375130, 26857659, 5227236, 544505, 39390, 2359, 136, 9, 1]