A275723 - cp's OEIS frontend

A275723 Square array A(n,k) = prime factorization of n (= 1..) completely reduced by factorial base representation of k (= 0..), read by descending antidiagonals as A(1,0), A(1,1), A(2,0), A(1,2), A(2,1), A(3,0), etc. See the Comments section for the meaning of reduction in this context.

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	2
9	2
10	4
11	1
12	2
13	3
14	4
15	5
16	1
17	2
18	2
19	4
20	5
21	6
22	1
23	2
24	3
25	4
26	3
27	4
28	7
29	1
30	2
31	2
32	4
33	2
34	6
35	7
36	8
37	1
38	2
39	3
40	4
41	2
42	4
43	7
44	8
45	9
46	1
47	2
48	2
49	4
50	2
51	6
52	7
53	8
54	4
55	10
56	1
57	2
58	3
59	4
60	5
61	4
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	2
70	4
71	5
72	6
73	7
74	8
75	4
76	6
77	11
78	12
79	1
80	2
81	3
82	4
83	3
84	4
85	5
86	8
87	9
88	4
89	11
90	8
91	13
92	1
93	2
94	2
95	4
96	2
97	6
98	5
99	8
100	4
101	4
102	11
103	12
104	13
105	14
106	1
107	2
108	3
109	4
110	2
111	4
112	3
113	8
114	9
115	4
116	11
117	8
118	13
119	14
120	15

[1, 1, 2, 1, 2, 3, 1, 2, 2, 4, 1, 2, 3, 4, 5, 1, 2, 2, 4, 5, 6, 1, 2, 3, 4, 3, 4, 7, 1, 2, 2, 4, 2, 6, 7, 8, 1, 2, 3, 4, 2, 4, 7, 8, 9, 1, 2, 2, 4, 2, 6, 7, 8, 4, 10, 1, 2, 3, 4, 5, 4, 7, 8, 9, 10, 11, 1, 2, 2, 4, 5, 6, 7, 8, 4, 6, 11, 12, 1, 2, 3, 4, 3, 4, 5, 8, 9, 4, 11, 8, 13, 1, 2, 2, 4, 2, 6, 5, 8, 4, 4, 11, 12, 13, 14, 1, 2, 3, 4, 2, 4, 3, 8, 9, 4, 11, 8, 13, 14, 15]

cp's OEIS Frontend

A275723 Square array A(n,k) = prime factorization of n (= 1..) completely reduced by factorial base representation of k (= 0..), read by descending antidiagonals as A(1,0), A(1,1), A(2,0), A(1,2), A(2,1), A(3,0), etc. See the Comments section for the meaning of reduction in this context.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	2
9	2
10	4
11	1
12	2
13	3
14	4
15	5
16	1
17	2
18	2
19	4
20	5
21	6
22	1
23	2
24	3
25	4
26	3
27	4
28	7
29	1
30	2
31	2
32	4
33	2
34	6
35	7
36	8
37	1
38	2
39	3
40	4
41	2
42	4
43	7
44	8
45	9
46	1
47	2
48	2
49	4
50	2
51	6
52	7
53	8
54	4
55	10
56	1
57	2
58	3
59	4
60	5
61	4
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	2
70	4
71	5
72	6
73	7
74	8
75	4
76	6
77	11
78	12
79	1
80	2
81	3
82	4
83	3
84	4
85	5
86	8
87	9
88	4
89	11
90	8
91	13
92	1
93	2
94	2
95	4
96	2
97	6
98	5
99	8
100	4
101	4
102	11
103	12
104	13
105	14
106	1
107	2
108	3
109	4
110	2
111	4
112	3
113	8
114	9
115	4
116	11
117	8
118	13
119	14
120	15

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	2
9	2
10	4
11	1
12	2
13	3
14	4
15	5
16	1
17	2
18	2
19	4
20	5
21	6
22	1
23	2
24	3
25	4
26	3
27	4
28	7
29	1
30	2
31	2
32	4
33	2
34	6
35	7
36	8
37	1
38	2
39	3
40	4
41	2
42	4
43	7
44	8
45	9
46	1
47	2
48	2
49	4
50	2
51	6
52	7
53	8
54	4
55	10
56	1
57	2
58	3
59	4
60	5
61	4
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	2
70	4
71	5
72	6
73	7
74	8
75	4
76	6
77	11
78	12
79	1
80	2
81	3
82	4
83	3
84	4
85	5
86	8
87	9
88	4
89	11
90	8
91	13
92	1
93	2
94	2
95	4
96	2
97	6
98	5
99	8
100	4
101	4
102	11
103	12
104	13
105	14
106	1
107	2
108	3
109	4
110	2
111	4
112	3
113	8
114	9
115	4
116	11
117	8
118	13
119	14
120	15

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	2
9	2
10	4
11	1
12	2
13	3
14	4
15	5
16	1
17	2
18	2
19	4
20	5
21	6
22	1
23	2
24	3
25	4
26	3
27	4
28	7
29	1
30	2
31	2
32	4
33	2
34	6
35	7
36	8
37	1
38	2
39	3
40	4
41	2
42	4
43	7
44	8
45	9
46	1
47	2
48	2
49	4
50	2
51	6
52	7
53	8
54	4
55	10
56	1
57	2
58	3
59	4
60	5
61	4
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	2
70	4
71	5
72	6
73	7
74	8
75	4
76	6
77	11
78	12
79	1
80	2
81	3
82	4
83	3
84	4
85	5
86	8
87	9
88	4
89	11
90	8
91	13
92	1
93	2
94	2
95	4
96	2
97	6
98	5
99	8
100	4
101	4
102	11
103	12
104	13
105	14
106	1
107	2
108	3
109	4
110	2
111	4
112	3
113	8
114	9
115	4
116	11
117	8
118	13
119	14
120	15