A111809 - cp's OEIS frontend

A111809 Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of sum of denominators.

n	a(n)
1	1
2	2
3	3
4	8
5	4
6	6
7	5
8	18
9	12
10	17
11	6
12	5
13	7
14	32
15	39
16	16
17	23
18	36
19	8
20	12
21	10
22	14
23	9
24	24
25	12
26	20
27	17
28	23
29	10
30	15
31	7
32	20
33	11
34	72
35	48
36	36
37	47
38	24
39	35
40	95
41	72
42	60
43	12
44	10
45	7
46	12
47	13
48	98
49	71
50	82
51	95
52	101
53	28
54	41
55	47
56	58
57	71
58	96
59	14
60	21
61	34
62	9
63	34
64	41
65	15
66	32
67	16
68	21
69	8
70	23
71	13
72	15
73	16
74	24
75	20

[1, 2, 3, 8, 4, 6, 5, 18, 12, 17, 6, 5, 7, 32, 39, 16, 23, 36, 8, 12, 10, 14, 9, 24, 12, 20, 17, 23, 10, 15, 7, 20, 11, 72, 48, 36, 47, 24, 35, 95, 72, 60, 12, 10, 7, 12, 13, 98, 71, 82, 95, 101, 28, 41, 47, 58, 71, 96, 14, 21, 34, 9, 34, 41, 15, 32, 16, 21, 8, 23, 13, 15, 16, 24, 20]

cp's OEIS Frontend

A111809 Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of sum of denominators.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	8
5	4
6	6
7	5
8	18
9	12
10	17
11	6
12	5
13	7
14	32
15	39
16	16
17	23
18	36
19	8
20	12
21	10
22	14
23	9
24	24
25	12
26	20
27	17
28	23
29	10
30	15
31	7
32	20
33	11
34	72
35	48
36	36
37	47
38	24
39	35
40	95
41	72
42	60
43	12
44	10
45	7
46	12
47	13
48	98
49	71
50	82
51	95
52	101
53	28
54	41
55	47
56	58
57	71
58	96
59	14
60	21
61	34
62	9
63	34
64	41
65	15
66	32
67	16
68	21
69	8
70	23
71	13
72	15
73	16
74	24
75	20

n	a(n)
1	1
2	2
3	3
4	8
5	4
6	6
7	5
8	18
9	12
10	17
11	6
12	5
13	7
14	32
15	39
16	16
17	23
18	36
19	8
20	12
21	10
22	14
23	9
24	24
25	12
26	20
27	17
28	23
29	10
30	15
31	7
32	20
33	11
34	72
35	48
36	36
37	47
38	24
39	35
40	95
41	72
42	60
43	12
44	10
45	7
46	12
47	13
48	98
49	71
50	82
51	95
52	101
53	28
54	41
55	47
56	58
57	71
58	96
59	14
60	21
61	34
62	9
63	34
64	41
65	15
66	32
67	16
68	21
69	8
70	23
71	13
72	15
73	16
74	24
75	20

n	a(n)
1	1
2	2
3	3
4	8
5	4
6	6
7	5
8	18
9	12
10	17
11	6
12	5
13	7
14	32
15	39
16	16
17	23
18	36
19	8
20	12
21	10
22	14
23	9
24	24
25	12
26	20
27	17
28	23
29	10
30	15
31	7
32	20
33	11
34	72
35	48
36	36
37	47
38	24
39	35
40	95
41	72
42	60
43	12
44	10
45	7
46	12
47	13
48	98
49	71
50	82
51	95
52	101
53	28
54	41
55	47
56	58
57	71
58	96
59	14
60	21
61	34
62	9
63	34
64	41
65	15
66	32
67	16
68	21
69	8
70	23
71	13
72	15
73	16
74	24
75	20