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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A177517 Triangle T(n,k) read by rows defined by recurrence T(n,1)=A000007(n-1) and T(n,k) = sum_{i=1..k-1} T(n-i,k-1) if k>1.

Table of values

n a(n)
1 1
2 0
3 1
4 0
5 0
6 1
7 0
8 0
9 1
10 1
11 0
12 0
13 0
14 2
15 1
16 0
17 0
18 0
19 2
20 3
21 1
22 0
23 0
24 0
25 1
26 5
27 4
28 1
29 0
30 0
31 0
32 0
33 6
34 9
35 5
36 1
37 0
38 0
39 0
40 0
41 5
42 15
43 14
44 6
45 1
46 0
47 0
48 0
49 0
50 3
51 20
52 29
53 20
54 7
55 1
56 0
57 0
58 0
59 0
60 1
61 22
62 49
63 49
64 27
65 8
66 1
67 0
68 0
69 0
70 0
71 0
72 20
73 71
74 98
75 76
76 35
77 9
78 1
79 0
80 0
81 0
82 0
83 0
84 15
85 90
86 169
87 174
88 111
89 44
90 10
91 1
92 0
93 0
94 0
95 0
96 0
97 9
98 101
99 259
100 343
101 285
102 155
103 54
104 11
105 1
106 0
107 0
108 0
109 0
110 0
111 4
112 101
113 359
114 602
115 628
116 440
117 209
118 65
119 12
120 1
121 0
122 0
123 0
124 0
125 0
126 1
127 90
128 455
129 961
130 1230
131 1068
132 649
133 274
134 77
135 13
136 1

List of values

[1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 3, 1, 0, 0, 0, 1, 5, 4, 1, 0, 0, 0, 0, 6, 9, 5, 1, 0, 0, 0, 0, 5, 15, 14, 6, 1, 0, 0, 0, 0, 3, 20, 29, 20, 7, 1, 0, 0, 0, 0, 1, 22, 49, 49, 27, 8, 1, 0, 0, 0, 0, 0, 20, 71, 98, 76, 35, 9, 1, 0, 0, 0, 0, 0, 15, 90, 169, 174, 111, 44, 10, 1, 0, 0, 0, 0, 0, 9, 101, 259, 343, 285, 155, 54, 11, 1, 0, 0, 0, 0, 0, 4, 101, 359, 602, 628, 440, 209, 65, 12, 1, 0, 0, 0, 0, 0, 1, 90, 455, 961, 1230, 1068, 649, 274, 77, 13, 1]