A127714 - cp's OEIS frontend

A127714 Triangle, read by rows of (n+1)(n+2)/2 terms, generated by the following rule. Start with a single '1' in row n=0; from then on, obtain row n from row n-1 by inserting zeros in row n-1 at positions: {(j+1)n - j*(j-1)/2 | j=0..n} and then take partial sums.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	3
9	3
10	1
11	3
12	5
13	5
14	8
15	11
16	11
17	14
18	14
19	14
20	1
21	4
22	9
23	14
24	14
25	22
26	33
27	44
28	44
29	58
30	72
31	72
32	86
33	86
34	86
35	1
36	5
37	14
38	28
39	42
40	42
41	64
42	97
43	141
44	185
45	185
46	243
47	315
48	387
49	387
50	473
51	559
52	559
53	645
54	645
55	645
56	1
57	6
58	20
59	48
60	90
61	132
62	132
63	196
64	293
65	434
66	619
67	804
68	804

[1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 1, 3, 5, 5, 8, 11, 11, 14, 14, 14, 1, 4, 9, 14, 14, 22, 33, 44, 44, 58, 72, 72, 86, 86, 86, 1, 5, 14, 28, 42, 42, 64, 97, 141, 185, 185, 243, 315, 387, 387, 473, 559, 559, 645, 645, 645, 1, 6, 20, 48, 90, 132, 132, 196, 293, 434, 619, 804, 804]

cp's OEIS Frontend

A127714 Triangle, read by rows of (n+1)(n+2)/2 terms, generated by the following rule. Start with a single '1' in row n=0; from then on, obtain row n from row n-1 by inserting zeros in row n-1 at positions: {(j+1)n - j*(j-1)/2 | j=0..n} and then take partial sums.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	3
9	3
10	1
11	3
12	5
13	5
14	8
15	11
16	11
17	14
18	14
19	14
20	1
21	4
22	9
23	14
24	14
25	22
26	33
27	44
28	44
29	58
30	72
31	72
32	86
33	86
34	86
35	1
36	5
37	14
38	28
39	42
40	42
41	64
42	97
43	141
44	185
45	185
46	243
47	315
48	387
49	387
50	473
51	559
52	559
53	645
54	645
55	645
56	1
57	6
58	20
59	48
60	90
61	132
62	132
63	196
64	293
65	434
66	619
67	804
68	804

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	3
9	3
10	1
11	3
12	5
13	5
14	8
15	11
16	11
17	14
18	14
19	14
20	1
21	4
22	9
23	14
24	14
25	22
26	33
27	44
28	44
29	58
30	72
31	72
32	86
33	86
34	86
35	1
36	5
37	14
38	28
39	42
40	42
41	64
42	97
43	141
44	185
45	185
46	243
47	315
48	387
49	387
50	473
51	559
52	559
53	645
54	645
55	645
56	1
57	6
58	20
59	48
60	90
61	132
62	132
63	196
64	293
65	434
66	619
67	804
68	804

cp's OEIS Frontend

A127714 Triangle, read by rows of (n+1)*(n+2)/2 terms, generated by the following rule. Start with a single '1' in row n=0; from then on, obtain row n from row n-1 by inserting zeros in row n-1 at positions: {(j+1)*n - j*(j-1)/2 | j=0..n} and then take partial sums.

Table of values

List of values

A127714 Triangle, read by rows of (n+1)(n+2)/2 terms, generated by the following rule. Start with a single '1' in row n=0; from then on, obtain row n from row n-1 by inserting zeros in row n-1 at positions: {(j+1)n - j*(j-1)/2 | j=0..n} and then take partial sums.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	3
9	3
10	1
11	3
12	5
13	5
14	8
15	11
16	11
17	14
18	14
19	14
20	1
21	4
22	9
23	14
24	14
25	22
26	33
27	44
28	44
29	58
30	72
31	72
32	86
33	86
34	86
35	1
36	5
37	14
38	28
39	42
40	42
41	64
42	97
43	141
44	185
45	185
46	243
47	315
48	387
49	387
50	473
51	559
52	559
53	645
54	645
55	645
56	1
57	6
58	20
59	48
60	90
61	132
62	132
63	196
64	293
65	434
66	619
67	804
68	804