A342518 - cp's OEIS frontend

A342518 Number of strict integer partitions of n with strictly decreasing first quotients.

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	4
8	5
9	7
10	8
11	9
12	11
13	12
14	13
15	17
16	18
17	21
18	24
19	28
20	30
21	34
22	37
23	41
24	47
25	52
26	56
27	63
28	68
29	72
30	83
31	89
32	99
33	108
34	117
35	128
36	139
37	149
38	163
39	179
40	189
41	203
42	217
43	233
44	250
45	272
46	289
47	305
48	329
49	355
50	381
51	410
52	438
53	471
54	505
55	540
56	571
57	607
58	645
59	683
60	726

[1, 1, 1, 2, 2, 3, 4, 4, 5, 7, 8, 9, 11, 12, 13, 17, 18, 21, 24, 28, 30, 34, 37, 41, 47, 52, 56, 63, 68, 72, 83, 89, 99, 108, 117, 128, 139, 149, 163, 179, 189, 203, 217, 233, 250, 272, 289, 305, 329, 355, 381, 410, 438, 471, 505, 540, 571, 607, 645, 683, 726]

cp's OEIS Frontend

A342518 Number of strict integer partitions of n with strictly decreasing first quotients.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	4
8	5
9	7
10	8
11	9
12	11
13	12
14	13
15	17
16	18
17	21
18	24
19	28
20	30
21	34
22	37
23	41
24	47
25	52
26	56
27	63
28	68
29	72
30	83
31	89
32	99
33	108
34	117
35	128
36	139
37	149
38	163
39	179
40	189
41	203
42	217
43	233
44	250
45	272
46	289
47	305
48	329
49	355
50	381
51	410
52	438
53	471
54	505
55	540
56	571
57	607
58	645
59	683
60	726

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	4
8	5
9	7
10	8
11	9
12	11
13	12
14	13
15	17
16	18
17	21
18	24
19	28
20	30
21	34
22	37
23	41
24	47
25	52
26	56
27	63
28	68
29	72
30	83
31	89
32	99
33	108
34	117
35	128
36	139
37	149
38	163
39	179
40	189
41	203
42	217
43	233
44	250
45	272
46	289
47	305
48	329
49	355
50	381
51	410
52	438
53	471
54	505
55	540
56	571
57	607
58	645
59	683
60	726

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	4
8	5
9	7
10	8
11	9
12	11
13	12
14	13
15	17
16	18
17	21
18	24
19	28
20	30
21	34
22	37
23	41
24	47
25	52
26	56
27	63
28	68
29	72
30	83
31	89
32	99
33	108
34	117
35	128
36	139
37	149
38	163
39	179
40	189
41	203
42	217
43	233
44	250
45	272
46	289
47	305
48	329
49	355
50	381
51	410
52	438
53	471
54	505
55	540
56	571
57	607
58	645
59	683
60	726