A332023 - cp's OEIS frontend

A332023 T(n, k) = binomial(n+2, 3) + binomial(k+1, 2) + binomial(k, 1). Triangle read by rows, T(n, k) for 0 <= k <= n.

n	a(n)
0	0
1	1
2	3
3	4
4	6
5	9
6	10
7	12
8	15
9	19
10	20
11	22
12	25
13	29
14	34
15	35
16	37
17	40
18	44
19	49
20	55
21	56
22	58
23	61
24	65
25	70
26	76
27	83
28	84
29	86
30	89
31	93
32	98
33	104
34	111
35	119
36	120
37	122
38	125
39	129
40	134
41	140
42	147
43	155
44	164
45	165
46	167
47	170
48	174
49	179
50	185
51	192
52	200
53	209
54	219

[0, 1, 3, 4, 6, 9, 10, 12, 15, 19, 20, 22, 25, 29, 34, 35, 37, 40, 44, 49, 55, 56, 58, 61, 65, 70, 76, 83, 84, 86, 89, 93, 98, 104, 111, 119, 120, 122, 125, 129, 134, 140, 147, 155, 164, 165, 167, 170, 174, 179, 185, 192, 200, 209, 219]

cp's OEIS Frontend

A332023 T(n, k) = binomial(n+2, 3) + binomial(k+1, 2) + binomial(k, 1). Triangle read by rows, T(n, k) for 0 <= k <= n.

Table of values

List of values

n	a(n)
0	0
1	1
2	3
3	4
4	6
5	9
6	10
7	12
8	15
9	19
10	20
11	22
12	25
13	29
14	34
15	35
16	37
17	40
18	44
19	49
20	55
21	56
22	58
23	61
24	65
25	70
26	76
27	83
28	84
29	86
30	89
31	93
32	98
33	104
34	111
35	119
36	120
37	122
38	125
39	129
40	134
41	140
42	147
43	155
44	164
45	165
46	167
47	170
48	174
49	179
50	185
51	192
52	200
53	209
54	219

n	a(n)
0	0
1	1
2	3
3	4
4	6
5	9
6	10
7	12
8	15
9	19
10	20
11	22
12	25
13	29
14	34
15	35
16	37
17	40
18	44
19	49
20	55
21	56
22	58
23	61
24	65
25	70
26	76
27	83
28	84
29	86
30	89
31	93
32	98
33	104
34	111
35	119
36	120
37	122
38	125
39	129
40	134
41	140
42	147
43	155
44	164
45	165
46	167
47	170
48	174
49	179
50	185
51	192
52	200
53	209
54	219

n	a(n)
0	0
1	1
2	3
3	4
4	6
5	9
6	10
7	12
8	15
9	19
10	20
11	22
12	25
13	29
14	34
15	35
16	37
17	40
18	44
19	49
20	55
21	56
22	58
23	61
24	65
25	70
26	76
27	83
28	84
29	86
30	89
31	93
32	98
33	104
34	111
35	119
36	120
37	122
38	125
39	129
40	134
41	140
42	147
43	155
44	164
45	165
46	167
47	170
48	174
49	179
50	185
51	192
52	200
53	209
54	219