A176850 - cp's OEIS frontend

A176850 a(n,k) is the number of ways to choose integers i,j from {0,1,...,k} such that the inequalities |i-j| <= n <= i+j are satisfied.

n	a(n)
0	1
1	2
2	3
3	1
4	3
5	6
6	6
7	3
8	1
9	4
10	9
11	11
12	10
13	6
14	3
15	1
16	5
17	12
18	16
19	17
20	15
21	10
22	6
23	3
24	1
25	6
26	15
27	21
28	24
29	24
30	21
31	15
32	10
33	6
34	3
35	1
36	7
37	18
38	26
39	31
40	33
41	32
42	28
43	21
44	15
45	10
46	6
47	3
48	1
49	8
50	21
51	31
52	38
53	42
54	43
55	41
56	36
57	28
58	21
59	15
60	10
61	6
62	3
63	1
64	9
65	24
66	36
67	45
68	51
69	54
70	54
71	51
72	45
73	36
74	28
75	21
76	15
77	10
78	6
79	3
80	1
81	10
82	27
83	41
84	52
85	60
86	65
87	67
88	66
89	62
90	55
91	45
92	36
93	28
94	21
95	15
96	10
97	6
98	3

[1, 2, 3, 1, 3, 6, 6, 3, 1, 4, 9, 11, 10, 6, 3, 1, 5, 12, 16, 17, 15, 10, 6, 3, 1, 6, 15, 21, 24, 24, 21, 15, 10, 6, 3, 1, 7, 18, 26, 31, 33, 32, 28, 21, 15, 10, 6, 3, 1, 8, 21, 31, 38, 42, 43, 41, 36, 28, 21, 15, 10, 6, 3, 1, 9, 24, 36, 45, 51, 54, 54, 51, 45, 36, 28, 21, 15, 10, 6, 3, 1, 10, 27, 41, 52, 60, 65, 67, 66, 62, 55, 45, 36, 28, 21, 15, 10, 6, 3]

cp's OEIS Frontend

A176850 a(n,k) is the number of ways to choose integers i,j from {0,1,...,k} such that the inequalities |i-j| <= n <= i+j are satisfied.

Table of values

List of values

n	a(n)
0	1
1	2
2	3
3	1
4	3
5	6
6	6
7	3
8	1
9	4
10	9
11	11
12	10
13	6
14	3
15	1
16	5
17	12
18	16
19	17
20	15
21	10
22	6
23	3
24	1
25	6
26	15
27	21
28	24
29	24
30	21
31	15
32	10
33	6
34	3
35	1
36	7
37	18
38	26
39	31
40	33
41	32
42	28
43	21
44	15
45	10
46	6
47	3
48	1
49	8
50	21
51	31
52	38
53	42
54	43
55	41
56	36
57	28
58	21
59	15
60	10
61	6
62	3
63	1
64	9
65	24
66	36
67	45
68	51
69	54
70	54
71	51
72	45
73	36
74	28
75	21
76	15
77	10
78	6
79	3
80	1
81	10
82	27
83	41
84	52
85	60
86	65
87	67
88	66
89	62
90	55
91	45
92	36
93	28
94	21
95	15
96	10
97	6
98	3

n	a(n)
0	1
1	2
2	3
3	1
4	3
5	6
6	6
7	3
8	1
9	4
10	9
11	11
12	10
13	6
14	3
15	1
16	5
17	12
18	16
19	17
20	15
21	10
22	6
23	3
24	1
25	6
26	15
27	21
28	24
29	24
30	21
31	15
32	10
33	6
34	3
35	1
36	7
37	18
38	26
39	31
40	33
41	32
42	28
43	21
44	15
45	10
46	6
47	3
48	1
49	8
50	21
51	31
52	38
53	42
54	43
55	41
56	36
57	28
58	21
59	15
60	10
61	6
62	3
63	1
64	9
65	24
66	36
67	45
68	51
69	54
70	54
71	51
72	45
73	36
74	28
75	21
76	15
77	10
78	6
79	3
80	1
81	10
82	27
83	41
84	52
85	60
86	65
87	67
88	66
89	62
90	55
91	45
92	36
93	28
94	21
95	15
96	10
97	6
98	3

n	a(n)
0	1
1	2
2	3
3	1
4	3
5	6
6	6
7	3
8	1
9	4
10	9
11	11
12	10
13	6
14	3
15	1
16	5
17	12
18	16
19	17
20	15
21	10
22	6
23	3
24	1
25	6
26	15
27	21
28	24
29	24
30	21
31	15
32	10
33	6
34	3
35	1
36	7
37	18
38	26
39	31
40	33
41	32
42	28
43	21
44	15
45	10
46	6
47	3
48	1
49	8
50	21
51	31
52	38
53	42
54	43
55	41
56	36
57	28
58	21
59	15
60	10
61	6
62	3
63	1
64	9
65	24
66	36
67	45
68	51
69	54
70	54
71	51
72	45
73	36
74	28
75	21
76	15
77	10
78	6
79	3
80	1
81	10
82	27
83	41
84	52
85	60
86	65
87	67
88	66
89	62
90	55
91	45
92	36
93	28
94	21
95	15
96	10
97	6
98	3