A374452 - cp's OEIS frontend

A374452 Iterated rascal triangle R3: T(n,k) = Sum_{m=0..3} 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	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	8
38	28
39	56
40	69
41	56
42	28
43	8
44	1
45	1
46	9
47	36
48	84
49	121
50	121
51	84
52	36
53	9
54	1
55	1
56	10
57	45
58	120
59	195
60	226
61	195
62	120
63	45
64	10
65	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, 20, 15, 6, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 8, 28, 56, 69, 56, 28, 8, 1, 1, 9, 36, 84, 121, 121, 84, 36, 9, 1, 1, 10, 45, 120, 195, 226, 195, 120, 45, 10, 1]

cp's OEIS Frontend

A374452 Iterated rascal triangle R3: T(n,k) = Sum_{m=0..3} 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	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	8
38	28
39	56
40	69
41	56
42	28
43	8
44	1
45	1
46	9
47	36
48	84
49	121
50	121
51	84
52	36
53	9
54	1
55	1
56	10
57	45
58	120
59	195
60	226
61	195
62	120
63	45
64	10
65	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	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	8
38	28
39	56
40	69
41	56
42	28
43	8
44	1
45	1
46	9
47	36
48	84
49	121
50	121
51	84
52	36
53	9
54	1
55	1
56	10
57	45
58	120
59	195
60	226
61	195
62	120
63	45
64	10
65	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	20
25	15
26	6
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	8
38	28
39	56
40	69
41	56
42	28
43	8
44	1
45	1
46	9
47	36
48	84
49	121
50	121
51	84
52	36
53	9
54	1
55	1
56	10
57	45
58	120
59	195
60	226
61	195
62	120
63	45
64	10
65	1