A374378 - cp's OEIS frontend

A374378 Iterated rascal triangle R2: T(n,k) = Sum_{m=0..2} binomial(n-k,m)*binomial(k,m).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	19
25	15
26	6
27	1
28	1
29	7
30	21
31	31
32	31
33	21
34	7
35	1
36	1
37	8
38	28
39	46
40	53
41	46
42	28
43	8
44	1
45	1
46	9
47	36
48	64
49	81
50	81
51	64
52	36
53	9
54	1
55	1
56	10
57	45
58	85
59	115
60	126
61	115
62	85
63	45
64	10
65	1
66	1
67	11
68	55
69	109
70	155
71	181
72	181
73	155
74	109
75	55
76	11
77	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 15, 19, 15, 6, 1, 1, 7, 21, 31, 31, 21, 7, 1, 1, 8, 28, 46, 53, 46, 28, 8, 1, 1, 9, 36, 64, 81, 81, 64, 36, 9, 1, 1, 10, 45, 85, 115, 126, 115, 85, 45, 10, 1, 1, 11, 55, 109, 155, 181, 181, 155, 109, 55, 11, 1]

cp's OEIS Frontend

A374378 Iterated rascal triangle R2: T(n,k) = Sum_{m=0..2} binomial(n-k,m)*binomial(k,m).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	19
25	15
26	6
27	1
28	1
29	7
30	21
31	31
32	31
33	21
34	7
35	1
36	1
37	8
38	28
39	46
40	53
41	46
42	28
43	8
44	1
45	1
46	9
47	36
48	64
49	81
50	81
51	64
52	36
53	9
54	1
55	1
56	10
57	45
58	85
59	115
60	126
61	115
62	85
63	45
64	10
65	1
66	1
67	11
68	55
69	109
70	155
71	181
72	181
73	155
74	109
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	19
25	15
26	6
27	1
28	1
29	7
30	21
31	31
32	31
33	21
34	7
35	1
36	1
37	8
38	28
39	46
40	53
41	46
42	28
43	8
44	1
45	1
46	9
47	36
48	64
49	81
50	81
51	64
52	36
53	9
54	1
55	1
56	10
57	45
58	85
59	115
60	126
61	115
62	85
63	45
64	10
65	1
66	1
67	11
68	55
69	109
70	155
71	181
72	181
73	155
74	109
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	4
12	6
13	4
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	6
23	15
24	19
25	15
26	6
27	1
28	1
29	7
30	21
31	31
32	31
33	21
34	7
35	1
36	1
37	8
38	28
39	46
40	53
41	46
42	28
43	8
44	1
45	1
46	9
47	36
48	64
49	81
50	81
51	64
52	36
53	9
54	1
55	1
56	10
57	45
58	85
59	115
60	126
61	115
62	85
63	45
64	10
65	1
66	1
67	11
68	55
69	109
70	155
71	181
72	181
73	155
74	109
75	55
76	11
77	1