A355678 - cp's OEIS frontend

A355678 For any nonnegative number n with factorial base expansion Sum_{k > 0} d_k * k!, a(n) = Sum_{k > 0} d_k * k! * (-1)^(Sum_{i < k} sign(d_i)).

n	a(n)
0	0
1	1
2	2
3	-1
4	4
5	-3
6	6
7	-5
8	-4
9	5
10	-2
11	3
12	12
13	-11
14	-10
15	11
16	-8
17	9
18	18
19	-17
20	-16
21	17
22	-14
23	15
24	24
25	-23
26	-22
27	23
28	-20
29	21
30	-18
31	19
32	20
33	-19
34	22
35	-21
36	-12
37	13
38	14
39	-13
40	16
41	-15
42	-6
43	7
44	8
45	-7
46	10
47	-9
48	48
49	-47
50	-46
51	47
52	-44
53	45
54	-42
55	43
56	44
57	-43
58	46
59	-45
60	-36
61	37

[0, 1, 2, -1, 4, -3, 6, -5, -4, 5, -2, 3, 12, -11, -10, 11, -8, 9, 18, -17, -16, 17, -14, 15, 24, -23, -22, 23, -20, 21, -18, 19, 20, -19, 22, -21, -12, 13, 14, -13, 16, -15, -6, 7, 8, -7, 10, -9, 48, -47, -46, 47, -44, 45, -42, 43, 44, -43, 46, -45, -36, 37]

cp's OEIS Frontend

A355678 For any nonnegative number n with factorial base expansion Sum_{k > 0} d_k * k!, a(n) = Sum_{k > 0} d_k * k! * (-1)^(Sum_{i < k} sign(d_i)).

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	-1
4	4
5	-3
6	6
7	-5
8	-4
9	5
10	-2
11	3
12	12
13	-11
14	-10
15	11
16	-8
17	9
18	18
19	-17
20	-16
21	17
22	-14
23	15
24	24
25	-23
26	-22
27	23
28	-20
29	21
30	-18
31	19
32	20
33	-19
34	22
35	-21
36	-12
37	13
38	14
39	-13
40	16
41	-15
42	-6
43	7
44	8
45	-7
46	10
47	-9
48	48
49	-47
50	-46
51	47
52	-44
53	45
54	-42
55	43
56	44
57	-43
58	46
59	-45
60	-36
61	37

n	a(n)
0	0
1	1
2	2
3	-1
4	4
5	-3
6	6
7	-5
8	-4
9	5
10	-2
11	3
12	12
13	-11
14	-10
15	11
16	-8
17	9
18	18
19	-17
20	-16
21	17
22	-14
23	15
24	24
25	-23
26	-22
27	23
28	-20
29	21
30	-18
31	19
32	20
33	-19
34	22
35	-21
36	-12
37	13
38	14
39	-13
40	16
41	-15
42	-6
43	7
44	8
45	-7
46	10
47	-9
48	48
49	-47
50	-46
51	47
52	-44
53	45
54	-42
55	43
56	44
57	-43
58	46
59	-45
60	-36
61	37

n	a(n)
0	0
1	1
2	2
3	-1
4	4
5	-3
6	6
7	-5
8	-4
9	5
10	-2
11	3
12	12
13	-11
14	-10
15	11
16	-8
17	9
18	18
19	-17
20	-16
21	17
22	-14
23	15
24	24
25	-23
26	-22
27	23
28	-20
29	21
30	-18
31	19
32	20
33	-19
34	22
35	-21
36	-12
37	13
38	14
39	-13
40	16
41	-15
42	-6
43	7
44	8
45	-7
46	10
47	-9
48	48
49	-47
50	-46
51	47
52	-44
53	45
54	-42
55	43
56	44
57	-43
58	46
59	-45
60	-36
61	37