A104734 - cp's OEIS frontend

A104734 Triangle T(n,k) = sum_{j=k..n} (2n-2j+1)*binomial(k,j-k), read by rows, 0<=k<=n.

n	a(n)
0	1
1	3
2	1
3	5
4	4
5	1
6	7
7	8
8	5
9	1
10	9
11	12
12	12
13	6
14	1
15	11
16	16
17	20
18	17
19	7
20	1
21	13
22	20
23	28
24	32
25	23
26	8
27	1
28	15
29	24
30	36
31	48
32	49
33	30
34	9
35	1
36	17
37	28
38	44
39	64
40	80
41	72
42	38
43	10
44	1
45	19
46	32
47	52
48	80
49	112
50	129
51	102
52	47
53	11
54	1
55	21
56	36
57	60
58	96
59	144
60	192
61	201
62	140
63	57
64	12
65	1
66	23
67	40
68	68
69	112
70	176
71	256
72	321
73	303
74	187
75	68
76	13
77	1
78	25
79	44
80	76
81	128
82	208
83	320
84	448
85	522
86	443
87	244
88	80
89	14
90	1

[1, 3, 1, 5, 4, 1, 7, 8, 5, 1, 9, 12, 12, 6, 1, 11, 16, 20, 17, 7, 1, 13, 20, 28, 32, 23, 8, 1, 15, 24, 36, 48, 49, 30, 9, 1, 17, 28, 44, 64, 80, 72, 38, 10, 1, 19, 32, 52, 80, 112, 129, 102, 47, 11, 1, 21, 36, 60, 96, 144, 192, 201, 140, 57, 12, 1, 23, 40, 68, 112, 176, 256, 321, 303, 187, 68, 13, 1, 25, 44, 76, 128, 208, 320, 448, 522, 443, 244, 80, 14, 1]

cp's OEIS Frontend

A104734 Triangle T(n,k) = sum_{j=k..n} (2n-2j+1)*binomial(k,j-k), read by rows, 0<=k<=n.

Table of values

List of values

n	a(n)
0	1
1	3
2	1
3	5
4	4
5	1
6	7
7	8
8	5
9	1
10	9
11	12
12	12
13	6
14	1
15	11
16	16
17	20
18	17
19	7
20	1
21	13
22	20
23	28
24	32
25	23
26	8
27	1
28	15
29	24
30	36
31	48
32	49
33	30
34	9
35	1
36	17
37	28
38	44
39	64
40	80
41	72
42	38
43	10
44	1
45	19
46	32
47	52
48	80
49	112
50	129
51	102
52	47
53	11
54	1
55	21
56	36
57	60
58	96
59	144
60	192
61	201
62	140
63	57
64	12
65	1
66	23
67	40
68	68
69	112
70	176
71	256
72	321
73	303
74	187
75	68
76	13
77	1
78	25
79	44
80	76
81	128
82	208
83	320
84	448
85	522
86	443
87	244
88	80
89	14
90	1

n	a(n)
0	1
1	3
2	1
3	5
4	4
5	1
6	7
7	8
8	5
9	1
10	9
11	12
12	12
13	6
14	1
15	11
16	16
17	20
18	17
19	7
20	1
21	13
22	20
23	28
24	32
25	23
26	8
27	1
28	15
29	24
30	36
31	48
32	49
33	30
34	9
35	1
36	17
37	28
38	44
39	64
40	80
41	72
42	38
43	10
44	1
45	19
46	32
47	52
48	80
49	112
50	129
51	102
52	47
53	11
54	1
55	21
56	36
57	60
58	96
59	144
60	192
61	201
62	140
63	57
64	12
65	1
66	23
67	40
68	68
69	112
70	176
71	256
72	321
73	303
74	187
75	68
76	13
77	1
78	25
79	44
80	76
81	128
82	208
83	320
84	448
85	522
86	443
87	244
88	80
89	14
90	1

n	a(n)
0	1
1	3
2	1
3	5
4	4
5	1
6	7
7	8
8	5
9	1
10	9
11	12
12	12
13	6
14	1
15	11
16	16
17	20
18	17
19	7
20	1
21	13
22	20
23	28
24	32
25	23
26	8
27	1
28	15
29	24
30	36
31	48
32	49
33	30
34	9
35	1
36	17
37	28
38	44
39	64
40	80
41	72
42	38
43	10
44	1
45	19
46	32
47	52
48	80
49	112
50	129
51	102
52	47
53	11
54	1
55	21
56	36
57	60
58	96
59	144
60	192
61	201
62	140
63	57
64	12
65	1
66	23
67	40
68	68
69	112
70	176
71	256
72	321
73	303
74	187
75	68
76	13
77	1
78	25
79	44
80	76
81	128
82	208
83	320
84	448
85	522
86	443
87	244
88	80
89	14
90	1