A265018 - cp's OEIS frontend

A265018 Total sum T(n,k) of number of lambda-parking functions of partitions lambda of n into distinct parts with largest part k; triangle T(n,k), n>=0, floor(sqrt(2n)+1/2)<=k<=n, read by rows.

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	5
6	4
7	8
8	7
9	5
10	16
11	12
12	9
13	6
14	40
15	16
16	11
17	7
18	34
19	55
20	20
21	13
22	8
23	50
24	73
25	70
26	24
27	15
28	9
29	125
30	132
31	96
32	85
33	28
34	17
35	10
36	281
37	212
38	119
39	100
40	32
41	19
42	11
43	351
44	469
45	267
46	142
47	115
48	36
49	21
50	12
51	307
52	642
53	644
54	322
55	165
56	130
57	40
58	23
59	13

[1, 1, 2, 3, 3, 5, 4, 8, 7, 5, 16, 12, 9, 6, 40, 16, 11, 7, 34, 55, 20, 13, 8, 50, 73, 70, 24, 15, 9, 125, 132, 96, 85, 28, 17, 10, 281, 212, 119, 100, 32, 19, 11, 351, 469, 267, 142, 115, 36, 21, 12, 307, 642, 644, 322, 165, 130, 40, 23, 13]

cp's OEIS Frontend

A265018 Total sum T(n,k) of number of lambda-parking functions of partitions lambda of n into distinct parts with largest part k; triangle T(n,k), n>=0, floor(sqrt(2n)+1/2)<=k<=n, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	5
6	4
7	8
8	7
9	5
10	16
11	12
12	9
13	6
14	40
15	16
16	11
17	7
18	34
19	55
20	20
21	13
22	8
23	50
24	73
25	70
26	24
27	15
28	9
29	125
30	132
31	96
32	85
33	28
34	17
35	10
36	281
37	212
38	119
39	100
40	32
41	19
42	11
43	351
44	469
45	267
46	142
47	115
48	36
49	21
50	12
51	307
52	642
53	644
54	322
55	165
56	130
57	40
58	23
59	13

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	5
6	4
7	8
8	7
9	5
10	16
11	12
12	9
13	6
14	40
15	16
16	11
17	7
18	34
19	55
20	20
21	13
22	8
23	50
24	73
25	70
26	24
27	15
28	9
29	125
30	132
31	96
32	85
33	28
34	17
35	10
36	281
37	212
38	119
39	100
40	32
41	19
42	11
43	351
44	469
45	267
46	142
47	115
48	36
49	21
50	12
51	307
52	642
53	644
54	322
55	165
56	130
57	40
58	23
59	13

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	5
6	4
7	8
8	7
9	5
10	16
11	12
12	9
13	6
14	40
15	16
16	11
17	7
18	34
19	55
20	20
21	13
22	8
23	50
24	73
25	70
26	24
27	15
28	9
29	125
30	132
31	96
32	85
33	28
34	17
35	10
36	281
37	212
38	119
39	100
40	32
41	19
42	11
43	351
44	469
45	267
46	142
47	115
48	36
49	21
50	12
51	307
52	642
53	644
54	322
55	165
56	130
57	40
58	23
59	13