A114999 - cp's OEIS frontend

A114999 Array read by antidiagonals: T(m,n) = Sum_{i=1..m, j=1..n, gcd(i,j)=1} (m+1-i)*(n+1-j), m>=1, n>=1.

n	a(n)
1	1
2	3
3	3
4	6
5	8
6	6
7	10
8	16
9	16
10	10
11	15
12	26
13	31
14	26
15	15
16	21
17	39
18	50
19	50
20	39
21	21
22	28
23	54
24	75
25	80
26	75
27	54
28	28
29	36
30	72
31	103
32	120
33	120
34	103
35	72
36	36
37	45
38	92
39	137
40	164
41	179
42	164
43	137
44	92
45	45
46	55
47	115
48	175
49	218
50	244
51	244
52	218
53	175
54	115
55	55
56	66
57	140
58	218
59	278
60	324
61	332
62	324
63	278
64	218
65	140

[1, 3, 3, 6, 8, 6, 10, 16, 16, 10, 15, 26, 31, 26, 15, 21, 39, 50, 50, 39, 21, 28, 54, 75, 80, 75, 54, 28, 36, 72, 103, 120, 120, 103, 72, 36, 45, 92, 137, 164, 179, 164, 137, 92, 45, 55, 115, 175, 218, 244, 244, 218, 175, 115, 55, 66, 140, 218, 278, 324, 332, 324, 278, 218, 140]

cp's OEIS Frontend

A114999 Array read by antidiagonals: T(m,n) = Sum_{i=1..m, j=1..n, gcd(i,j)=1} (m+1-i)*(n+1-j), m>=1, n>=1.

Table of values

List of values

n	a(n)
1	1
2	3
3	3
4	6
5	8
6	6
7	10
8	16
9	16
10	10
11	15
12	26
13	31
14	26
15	15
16	21
17	39
18	50
19	50
20	39
21	21
22	28
23	54
24	75
25	80
26	75
27	54
28	28
29	36
30	72
31	103
32	120
33	120
34	103
35	72
36	36
37	45
38	92
39	137
40	164
41	179
42	164
43	137
44	92
45	45
46	55
47	115
48	175
49	218
50	244
51	244
52	218
53	175
54	115
55	55
56	66
57	140
58	218
59	278
60	324
61	332
62	324
63	278
64	218
65	140

n	a(n)
1	1
2	3
3	3
4	6
5	8
6	6
7	10
8	16
9	16
10	10
11	15
12	26
13	31
14	26
15	15
16	21
17	39
18	50
19	50
20	39
21	21
22	28
23	54
24	75
25	80
26	75
27	54
28	28
29	36
30	72
31	103
32	120
33	120
34	103
35	72
36	36
37	45
38	92
39	137
40	164
41	179
42	164
43	137
44	92
45	45
46	55
47	115
48	175
49	218
50	244
51	244
52	218
53	175
54	115
55	55
56	66
57	140
58	218
59	278
60	324
61	332
62	324
63	278
64	218
65	140

n	a(n)
1	1
2	3
3	3
4	6
5	8
6	6
7	10
8	16
9	16
10	10
11	15
12	26
13	31
14	26
15	15
16	21
17	39
18	50
19	50
20	39
21	21
22	28
23	54
24	75
25	80
26	75
27	54
28	28
29	36
30	72
31	103
32	120
33	120
34	103
35	72
36	36
37	45
38	92
39	137
40	164
41	179
42	164
43	137
44	92
45	45
46	55
47	115
48	175
49	218
50	244
51	244
52	218
53	175
54	115
55	55
56	66
57	140
58	218
59	278
60	324
61	332
62	324
63	278
64	218
65	140