A355182 - cp's OEIS frontend

A355182 a(n) = t(n) - s(n) where s(n) = n*(n-1)/2 is the sum of the first n nonnegative integers and t(n) is the smallest sum of consecutive integers starting from n such that t(n) > s(n).

n	a(n)
1	1
2	1
3	4
4	3
5	1
6	6
7	3
8	10
9	6
10	1
11	10
12	4
13	15
14	8
15	21
16	13
17	4
18	19
19	9
20	26
21	15
22	3
23	22
24	9
25	30
26	16
27	1
28	24
29	8
30	33
31	16
32	43
33	25
34	6
35	35
36	15
37	46
38	25
39	3
40	36
41	13
42	48
43	24
44	61
45	36
46	10
47	49
48	22
49	63
50	35
51	6
52	49
53	19
54	64
55	33
56	1
57	48
58	15
59	64
60	30
61	81
62	46
63	10
64	63
65	26
66	81
67	43
68	4
69	61
70	21
71	80
72	39
73	100
74	58
75	15
76	78
77	34
78	99

[1, 1, 4, 3, 1, 6, 3, 10, 6, 1, 10, 4, 15, 8, 21, 13, 4, 19, 9, 26, 15, 3, 22, 9, 30, 16, 1, 24, 8, 33, 16, 43, 25, 6, 35, 15, 46, 25, 3, 36, 13, 48, 24, 61, 36, 10, 49, 22, 63, 35, 6, 49, 19, 64, 33, 1, 48, 15, 64, 30, 81, 46, 10, 63, 26, 81, 43, 4, 61, 21, 80, 39, 100, 58, 15, 78, 34, 99]

cp's OEIS Frontend

A355182 a(n) = t(n) - s(n) where s(n) = n*(n-1)/2 is the sum of the first n nonnegative integers and t(n) is the smallest sum of consecutive integers starting from n such that t(n) > s(n).

Table of values

List of values

n	a(n)
1	1
2	1
3	4
4	3
5	1
6	6
7	3
8	10
9	6
10	1
11	10
12	4
13	15
14	8
15	21
16	13
17	4
18	19
19	9
20	26
21	15
22	3
23	22
24	9
25	30
26	16
27	1
28	24
29	8
30	33
31	16
32	43
33	25
34	6
35	35
36	15
37	46
38	25
39	3
40	36
41	13
42	48
43	24
44	61
45	36
46	10
47	49
48	22
49	63
50	35
51	6
52	49
53	19
54	64
55	33
56	1
57	48
58	15
59	64
60	30
61	81
62	46
63	10
64	63
65	26
66	81
67	43
68	4
69	61
70	21
71	80
72	39
73	100
74	58
75	15
76	78
77	34
78	99

n	a(n)
1	1
2	1
3	4
4	3
5	1
6	6
7	3
8	10
9	6
10	1
11	10
12	4
13	15
14	8
15	21
16	13
17	4
18	19
19	9
20	26
21	15
22	3
23	22
24	9
25	30
26	16
27	1
28	24
29	8
30	33
31	16
32	43
33	25
34	6
35	35
36	15
37	46
38	25
39	3
40	36
41	13
42	48
43	24
44	61
45	36
46	10
47	49
48	22
49	63
50	35
51	6
52	49
53	19
54	64
55	33
56	1
57	48
58	15
59	64
60	30
61	81
62	46
63	10
64	63
65	26
66	81
67	43
68	4
69	61
70	21
71	80
72	39
73	100
74	58
75	15
76	78
77	34
78	99

n	a(n)
1	1
2	1
3	4
4	3
5	1
6	6
7	3
8	10
9	6
10	1
11	10
12	4
13	15
14	8
15	21
16	13
17	4
18	19
19	9
20	26
21	15
22	3
23	22
24	9
25	30
26	16
27	1
28	24
29	8
30	33
31	16
32	43
33	25
34	6
35	35
36	15
37	46
38	25
39	3
40	36
41	13
42	48
43	24
44	61
45	36
46	10
47	49
48	22
49	63
50	35
51	6
52	49
53	19
54	64
55	33
56	1
57	48
58	15
59	64
60	30
61	81
62	46
63	10
64	63
65	26
66	81
67	43
68	4
69	61
70	21
71	80
72	39
73	100
74	58
75	15
76	78
77	34
78	99