A104731 - cp's OEIS frontend

A104731 Triangle T(n,k) = sum_{j=k..n} (j+1)*binomial(k,j-k), read by rows, 0<=k<=n.

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	3
6	1
7	5
8	11
9	4
10	1
11	5
12	16
13	19
14	5
15	1
16	5
17	16
18	37
19	29
20	6
21	1
22	5
23	16
24	44
25	71
26	41
27	7
28	1
29	5
30	16
31	44
32	103
33	121
34	55
35	8
36	1
37	5
38	16
39	44
40	112
41	211
42	190
43	71
44	9
45	1
46	5
47	16
48	44
49	112
50	261
51	390
52	281
53	89
54	10
55	1
56	5
57	16
58	44
59	112
60	272
61	555
62	666
63	397
64	109
65	11

[1, 1, 2, 1, 5, 3, 1, 5, 11, 4, 1, 5, 16, 19, 5, 1, 5, 16, 37, 29, 6, 1, 5, 16, 44, 71, 41, 7, 1, 5, 16, 44, 103, 121, 55, 8, 1, 5, 16, 44, 112, 211, 190, 71, 9, 1, 5, 16, 44, 112, 261, 390, 281, 89, 10, 1, 5, 16, 44, 112, 272, 555, 666, 397, 109, 11]

cp's OEIS Frontend

A104731 Triangle T(n,k) = sum_{j=k..n} (j+1)*binomial(k,j-k), read by rows, 0<=k<=n.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	3
6	1
7	5
8	11
9	4
10	1
11	5
12	16
13	19
14	5
15	1
16	5
17	16
18	37
19	29
20	6
21	1
22	5
23	16
24	44
25	71
26	41
27	7
28	1
29	5
30	16
31	44
32	103
33	121
34	55
35	8
36	1
37	5
38	16
39	44
40	112
41	211
42	190
43	71
44	9
45	1
46	5
47	16
48	44
49	112
50	261
51	390
52	281
53	89
54	10
55	1
56	5
57	16
58	44
59	112
60	272
61	555
62	666
63	397
64	109
65	11

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	3
6	1
7	5
8	11
9	4
10	1
11	5
12	16
13	19
14	5
15	1
16	5
17	16
18	37
19	29
20	6
21	1
22	5
23	16
24	44
25	71
26	41
27	7
28	1
29	5
30	16
31	44
32	103
33	121
34	55
35	8
36	1
37	5
38	16
39	44
40	112
41	211
42	190
43	71
44	9
45	1
46	5
47	16
48	44
49	112
50	261
51	390
52	281
53	89
54	10
55	1
56	5
57	16
58	44
59	112
60	272
61	555
62	666
63	397
64	109
65	11

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	3
6	1
7	5
8	11
9	4
10	1
11	5
12	16
13	19
14	5
15	1
16	5
17	16
18	37
19	29
20	6
21	1
22	5
23	16
24	44
25	71
26	41
27	7
28	1
29	5
30	16
31	44
32	103
33	121
34	55
35	8
36	1
37	5
38	16
39	44
40	112
41	211
42	190
43	71
44	9
45	1
46	5
47	16
48	44
49	112
50	261
51	390
52	281
53	89
54	10
55	1
56	5
57	16
58	44
59	112
60	272
61	555
62	666
63	397
64	109
65	11