A225622 - cp's OEIS frontend

A225622 A(n,k) is the total number of parts in the set of partitions of an n X k rectangle into integer-sided squares, considering only the list of parts; square array A(n,k), n>=1, k>=1, read by antidiagonals.

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	3
7	4
8	9
9	9
10	4
11	5
12	15
13	16
14	15
15	5
16	6
17	21
18	31
19	31
20	21
21	6
22	7
23	30
24	47
25	59
26	47
27	30
28	7
29	8
30	38
31	73
32	102
33	102
34	73
35	38
36	8
37	9
38	50
39	101
40	170
41	156
42	170
43	101
44	50
45	9
46	10
47	60
48	142
49	250
50	307
51	307
52	250
53	142
54	60
55	10
56	11
57	75
58	185
59	375
60	460
61	529
62	460
63	375
64	185
65	75
66	11

[1, 2, 2, 3, 5, 3, 4, 9, 9, 4, 5, 15, 16, 15, 5, 6, 21, 31, 31, 21, 6, 7, 30, 47, 59, 47, 30, 7, 8, 38, 73, 102, 102, 73, 38, 8, 9, 50, 101, 170, 156, 170, 101, 50, 9, 10, 60, 142, 250, 307, 307, 250, 142, 60, 10, 11, 75, 185, 375, 460, 529, 460, 375, 185, 75, 11]

cp's OEIS Frontend

A225622 A(n,k) is the total number of parts in the set of partitions of an n X k rectangle into integer-sided squares, considering only the list of parts; square array A(n,k), n>=1, k>=1, read by antidiagonals.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	3
7	4
8	9
9	9
10	4
11	5
12	15
13	16
14	15
15	5
16	6
17	21
18	31
19	31
20	21
21	6
22	7
23	30
24	47
25	59
26	47
27	30
28	7
29	8
30	38
31	73
32	102
33	102
34	73
35	38
36	8
37	9
38	50
39	101
40	170
41	156
42	170
43	101
44	50
45	9
46	10
47	60
48	142
49	250
50	307
51	307
52	250
53	142
54	60
55	10
56	11
57	75
58	185
59	375
60	460
61	529
62	460
63	375
64	185
65	75
66	11

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	3
7	4
8	9
9	9
10	4
11	5
12	15
13	16
14	15
15	5
16	6
17	21
18	31
19	31
20	21
21	6
22	7
23	30
24	47
25	59
26	47
27	30
28	7
29	8
30	38
31	73
32	102
33	102
34	73
35	38
36	8
37	9
38	50
39	101
40	170
41	156
42	170
43	101
44	50
45	9
46	10
47	60
48	142
49	250
50	307
51	307
52	250
53	142
54	60
55	10
56	11
57	75
58	185
59	375
60	460
61	529
62	460
63	375
64	185
65	75
66	11

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	3
7	4
8	9
9	9
10	4
11	5
12	15
13	16
14	15
15	5
16	6
17	21
18	31
19	31
20	21
21	6
22	7
23	30
24	47
25	59
26	47
27	30
28	7
29	8
30	38
31	73
32	102
33	102
34	73
35	38
36	8
37	9
38	50
39	101
40	170
41	156
42	170
43	101
44	50
45	9
46	10
47	60
48	142
49	250
50	307
51	307
52	250
53	142
54	60
55	10
56	11
57	75
58	185
59	375
60	460
61	529
62	460
63	375
64	185
65	75
66	11