A081693 - cp's OEIS frontend

A081693 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 B_n. A_n is in A081692.

n	a(n)
0	0
1	2
2	8
3	10
4	12
5	14
6	16
7	22
8	28
9	34
10	40
11	46
12	48
13	50
14	52
15	54
16	60
17	62
18	64
19	66
20	68
21	74
22	76
23	78
24	80
25	82
26	88
27	90
28	92
29	94
30	96
31	102
32	104
33	106
34	108
35	110
36	116
37	122
38	128
39	134
40	140
41	142
42	144
43	146
44	148
45	154
46	160
47	166
48	172
49	178
50	180
51	182
52	184
53	186
54	192
55	198
56	204
57	210
58	216
59	218

[0, 2, 8, 10, 12, 14, 16, 22, 28, 34, 40, 46, 48, 50, 52, 54, 60, 62, 64, 66, 68, 74, 76, 78, 80, 82, 88, 90, 92, 94, 96, 102, 104, 106, 108, 110, 116, 122, 128, 134, 140, 142, 144, 146, 148, 154, 160, 166, 172, 178, 180, 182, 184, 186, 192, 198, 204, 210, 216, 218]

cp's OEIS Frontend

A081693 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 B_n. A_n is in A081692.

Table of values

List of values

n	a(n)
0	0
1	2
2	8
3	10
4	12
5	14
6	16
7	22
8	28
9	34
10	40
11	46
12	48
13	50
14	52
15	54
16	60
17	62
18	64
19	66
20	68
21	74
22	76
23	78
24	80
25	82
26	88
27	90
28	92
29	94
30	96
31	102
32	104
33	106
34	108
35	110
36	116
37	122
38	128
39	134
40	140
41	142
42	144
43	146
44	148
45	154
46	160
47	166
48	172
49	178
50	180
51	182
52	184
53	186
54	192
55	198
56	204
57	210
58	216
59	218

n	a(n)
0	0
1	2
2	8
3	10
4	12
5	14
6	16
7	22
8	28
9	34
10	40
11	46
12	48
13	50
14	52
15	54
16	60
17	62
18	64
19	66
20	68
21	74
22	76
23	78
24	80
25	82
26	88
27	90
28	92
29	94
30	96
31	102
32	104
33	106
34	108
35	110
36	116
37	122
38	128
39	134
40	140
41	142
42	144
43	146
44	148
45	154
46	160
47	166
48	172
49	178
50	180
51	182
52	184
53	186
54	192
55	198
56	204
57	210
58	216
59	218

n	a(n)
0	0
1	2
2	8
3	10
4	12
5	14
6	16
7	22
8	28
9	34
10	40
11	46
12	48
13	50
14	52
15	54
16	60
17	62
18	64
19	66
20	68
21	74
22	76
23	78
24	80
25	82
26	88
27	90
28	92
29	94
30	96
31	102
32	104
33	106
34	108
35	110
36	116
37	122
38	128
39	134
40	140
41	142
42	144
43	146
44	148
45	154
46	160
47	166
48	172
49	178
50	180
51	182
52	184
53	186
54	192
55	198
56	204
57	210
58	216
59	218