A081692 - cp's OEIS frontend

A081692 Define two sequences by A_n = mex{A_i,B_i : 0 <= i < n}, B_n = B_{n-1} + (A_n-A_{n-1})(A_n-A_{n-1}+1), where the mex of a set is the smallest nonnegative integer not in the set. Sequence gives A_n. B_n is in A081693.

n	a(n)
0	0
1	1
2	3
3	4
4	5
5	6
6	7
7	9
8	11
9	13
10	15
11	17
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	27
21	29
22	30
23	31
24	32
25	33
26	35
27	36
28	37
29	38
30	39
31	41
32	42
33	43
34	44
35	45
36	47
37	49
38	51
39	53
40	55
41	56
42	57
43	58
44	59
45	61
46	63
47	65
48	67
49	69
50	70
51	71
52	72
53	73
54	75
55	77
56	79
57	81
58	83
59	84
60	85
61	86
62	87
63	89
64	91
65	93
66	95
67	97
68	98
69	99
70	100

[0, 1, 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 47, 49, 51, 53, 55, 56, 57, 58, 59, 61, 63, 65, 67, 69, 70, 71, 72, 73, 75, 77, 79, 81, 83, 84, 85, 86, 87, 89, 91, 93, 95, 97, 98, 99, 100]

cp's OEIS Frontend

A081692 Define two sequences by A_n = mex{A_i,B_i : 0 <= i < n}, B_n = B_{n-1} + (A_n-A_{n-1})(A_n-A_{n-1}+1), where the mex of a set is the smallest nonnegative integer not in the set. Sequence gives A_n. B_n is in A081693.

Table of values

List of values

n	a(n)
0	0
1	1
2	3
3	4
4	5
5	6
6	7
7	9
8	11
9	13
10	15
11	17
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	27
21	29
22	30
23	31
24	32
25	33
26	35
27	36
28	37
29	38
30	39
31	41
32	42
33	43
34	44
35	45
36	47
37	49
38	51
39	53
40	55
41	56
42	57
43	58
44	59
45	61
46	63
47	65
48	67
49	69
50	70
51	71
52	72
53	73
54	75
55	77
56	79
57	81
58	83
59	84
60	85
61	86
62	87
63	89
64	91
65	93
66	95
67	97
68	98
69	99
70	100

n	a(n)
0	0
1	1
2	3
3	4
4	5
5	6
6	7
7	9
8	11
9	13
10	15
11	17
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	27
21	29
22	30
23	31
24	32
25	33
26	35
27	36
28	37
29	38
30	39
31	41
32	42
33	43
34	44
35	45
36	47
37	49
38	51
39	53
40	55
41	56
42	57
43	58
44	59
45	61
46	63
47	65
48	67
49	69
50	70
51	71
52	72
53	73
54	75
55	77
56	79
57	81
58	83
59	84
60	85
61	86
62	87
63	89
64	91
65	93
66	95
67	97
68	98
69	99
70	100

n	a(n)
0	0
1	1
2	3
3	4
4	5
5	6
6	7
7	9
8	11
9	13
10	15
11	17
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	27
21	29
22	30
23	31
24	32
25	33
26	35
27	36
28	37
29	38
30	39
31	41
32	42
33	43
34	44
35	45
36	47
37	49
38	51
39	53
40	55
41	56
42	57
43	58
44	59
45	61
46	63
47	65
48	67
49	69
50	70
51	71
52	72
53	73
54	75
55	77
56	79
57	81
58	83
59	84
60	85
61	86
62	87
63	89
64	91
65	93
66	95
67	97
68	98
69	99
70	100