A243841 - cp's OEIS frontend

A243841 Pair deficit of the most nearly equal partition of n into two parts using ceiling rounding of the expectations of n, floor(n/2) and n-floor(n/2), assuming equal likelihood of states defined by the number of 2-cycles.

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	0
6	0
7	0
8	-1
9	0
10	0
11	1
12	1
13	0
14	0
15	0
16	1
17	0
18	0
19	0
20	0
21	0
22	-1
23	0
24	0
25	1
26	1
27	1
28	0
29	1
30	1
31	0
32	0
33	0
34	1
35	0
36	0
37	0
38	1
39	1
40	2
41	1
42	0
43	1
44	1
45	1
46	0
47	1
48	1
49	1
50	0
51	1
52	1
53	1

[0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1]

cp's OEIS Frontend

A243841 Pair deficit of the most nearly equal partition of n into two parts using ceiling rounding of the expectations of n, floor(n/2) and n-floor(n/2), assuming equal likelihood of states defined by the number of 2-cycles.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	0
6	0
7	0
8	-1
9	0
10	0
11	1
12	1
13	0
14	0
15	0
16	1
17	0
18	0
19	0
20	0
21	0
22	-1
23	0
24	0
25	1
26	1
27	1
28	0
29	1
30	1
31	0
32	0
33	0
34	1
35	0
36	0
37	0
38	1
39	1
40	2
41	1
42	0
43	1
44	1
45	1
46	0
47	1
48	1
49	1
50	0
51	1
52	1
53	1

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	0
6	0
7	0
8	-1
9	0
10	0
11	1
12	1
13	0
14	0
15	0
16	1
17	0
18	0
19	0
20	0
21	0
22	-1
23	0
24	0
25	1
26	1
27	1
28	0
29	1
30	1
31	0
32	0
33	0
34	1
35	0
36	0
37	0
38	1
39	1
40	2
41	1
42	0
43	1
44	1
45	1
46	0
47	1
48	1
49	1
50	0
51	1
52	1
53	1

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	0
6	0
7	0
8	-1
9	0
10	0
11	1
12	1
13	0
14	0
15	0
16	1
17	0
18	0
19	0
20	0
21	0
22	-1
23	0
24	0
25	1
26	1
27	1
28	0
29	1
30	1
31	0
32	0
33	0
34	1
35	0
36	0
37	0
38	1
39	1
40	2
41	1
42	0
43	1
44	1
45	1
46	0
47	1
48	1
49	1
50	0
51	1
52	1
53	1