A224839 - cp's OEIS frontend

A224839 a(1) = 1 and a(n) is the smallest number greater than a(n-1) with no square difference with any preceding term.

n	a(n)
1	1
2	3
3	6
4	8
5	11
6	13
7	16
8	18
9	21
10	23
11	35
12	40
13	45
14	53
15	58
16	63
17	66
18	68
19	73
20	86
21	96
22	110
23	120
24	125
25	128
26	131
27	133
28	138
29	143
30	148
31	151
32	171
33	178
34	181
35	183
36	188
37	193
38	198
39	205
40	211
41	216
42	239
43	244
44	250
45	256
46	258
47	261
48	263
49	268
50	273

[1, 3, 6, 8, 11, 13, 16, 18, 21, 23, 35, 40, 45, 53, 58, 63, 66, 68, 73, 86, 96, 110, 120, 125, 128, 131, 133, 138, 143, 148, 151, 171, 178, 181, 183, 188, 193, 198, 205, 211, 216, 239, 244, 250, 256, 258, 261, 263, 268, 273]

cp's OEIS Frontend

A224839 a(1) = 1 and a(n) is the smallest number greater than a(n-1) with no square difference with any preceding term.

Table of values

List of values

n	a(n)
1	1
2	3
3	6
4	8
5	11
6	13
7	16
8	18
9	21
10	23
11	35
12	40
13	45
14	53
15	58
16	63
17	66
18	68
19	73
20	86
21	96
22	110
23	120
24	125
25	128
26	131
27	133
28	138
29	143
30	148
31	151
32	171
33	178
34	181
35	183
36	188
37	193
38	198
39	205
40	211
41	216
42	239
43	244
44	250
45	256
46	258
47	261
48	263
49	268
50	273

n	a(n)
1	1
2	3
3	6
4	8
5	11
6	13
7	16
8	18
9	21
10	23
11	35
12	40
13	45
14	53
15	58
16	63
17	66
18	68
19	73
20	86
21	96
22	110
23	120
24	125
25	128
26	131
27	133
28	138
29	143
30	148
31	151
32	171
33	178
34	181
35	183
36	188
37	193
38	198
39	205
40	211
41	216
42	239
43	244
44	250
45	256
46	258
47	261
48	263
49	268
50	273

n	a(n)
1	1
2	3
3	6
4	8
5	11
6	13
7	16
8	18
9	21
10	23
11	35
12	40
13	45
14	53
15	58
16	63
17	66
18	68
19	73
20	86
21	96
22	110
23	120
24	125
25	128
26	131
27	133
28	138
29	143
30	148
31	151
32	171
33	178
34	181
35	183
36	188
37	193
38	198
39	205
40	211
41	216
42	239
43	244
44	250
45	256
46	258
47	261
48	263
49	268
50	273