A131238 - cp's OEIS frontend

A131238 Triangle read by rows: T(n,k) = 2*binomial(n,k) - binomial(floor((n+k)/2), k) (0 <= k <= n).

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	5
9	1
10	1
11	6
12	9
13	7
14	1
15	1
16	7
17	17
18	16
19	9
20	1
21	1
22	9
23	24
24	36
25	25
26	11
27	1
28	1
29	10
30	36
31	60
32	65
33	36
34	13
35	1
36	1
37	12
38	46
39	102
40	125
41	106
42	49
43	15
44	1
45	1
46	13
47	62
48	148
49	237
50	231
51	161
52	64
53	17
54	1
55	1
56	15
57	75
58	220
59	385
60	483
61	392
62	232
63	81
64	19
65	1
66	1
67	16
68	95
69	295
70	625
71	868
72	896
73	624
74	321
75	100
76	21
77	1

[1, 1, 1, 1, 3, 1, 1, 4, 5, 1, 1, 6, 9, 7, 1, 1, 7, 17, 16, 9, 1, 1, 9, 24, 36, 25, 11, 1, 1, 10, 36, 60, 65, 36, 13, 1, 1, 12, 46, 102, 125, 106, 49, 15, 1, 1, 13, 62, 148, 237, 231, 161, 64, 17, 1, 1, 15, 75, 220, 385, 483, 392, 232, 81, 19, 1, 1, 16, 95, 295, 625, 868, 896, 624, 321, 100, 21, 1]

cp's OEIS Frontend

A131238 Triangle read by rows: T(n,k) = 2*binomial(n,k) - binomial(floor((n+k)/2), k) (0 <= k <= n).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	5
9	1
10	1
11	6
12	9
13	7
14	1
15	1
16	7
17	17
18	16
19	9
20	1
21	1
22	9
23	24
24	36
25	25
26	11
27	1
28	1
29	10
30	36
31	60
32	65
33	36
34	13
35	1
36	1
37	12
38	46
39	102
40	125
41	106
42	49
43	15
44	1
45	1
46	13
47	62
48	148
49	237
50	231
51	161
52	64
53	17
54	1
55	1
56	15
57	75
58	220
59	385
60	483
61	392
62	232
63	81
64	19
65	1
66	1
67	16
68	95
69	295
70	625
71	868
72	896
73	624
74	321
75	100
76	21
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	5
9	1
10	1
11	6
12	9
13	7
14	1
15	1
16	7
17	17
18	16
19	9
20	1
21	1
22	9
23	24
24	36
25	25
26	11
27	1
28	1
29	10
30	36
31	60
32	65
33	36
34	13
35	1
36	1
37	12
38	46
39	102
40	125
41	106
42	49
43	15
44	1
45	1
46	13
47	62
48	148
49	237
50	231
51	161
52	64
53	17
54	1
55	1
56	15
57	75
58	220
59	385
60	483
61	392
62	232
63	81
64	19
65	1
66	1
67	16
68	95
69	295
70	625
71	868
72	896
73	624
74	321
75	100
76	21
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	5
9	1
10	1
11	6
12	9
13	7
14	1
15	1
16	7
17	17
18	16
19	9
20	1
21	1
22	9
23	24
24	36
25	25
26	11
27	1
28	1
29	10
30	36
31	60
32	65
33	36
34	13
35	1
36	1
37	12
38	46
39	102
40	125
41	106
42	49
43	15
44	1
45	1
46	13
47	62
48	148
49	237
50	231
51	161
52	64
53	17
54	1
55	1
56	15
57	75
58	220
59	385
60	483
61	392
62	232
63	81
64	19
65	1
66	1
67	16
68	95
69	295
70	625
71	868
72	896
73	624
74	321
75	100
76	21
77	1