A019312 - cp's OEIS frontend

A019312 Taxman sequence: define T(S) by max{x+T(S \ {c : c|x})}, where the max is over all x in S for which S also contains a proper divisor of x; if no such x exists, T(S)=0; set T(n)=T({1,...,n}).

n	a(n)
1	0
2	2
3	3
4	7
5	9
6	15
7	17
8	21
9	30
10	40
11	44
12	50
13	52
14	66
15	81
16	89
17	93
18	111
19	113
20	124
21	144
22	166
23	170
24	182
25	198
26	224
27	251
28	279
29	285
30	301
31	303
32	319
33	352
34	386
35	418
36	442
37	448
38	486
39	503
40	525
41	529
42	571
43	573
44	617
45	660
46	706
47	710
48	734
49	758
50	808
51	833
52	885
53	891
54	940

[0, 2, 3, 7, 9, 15, 17, 21, 30, 40, 44, 50, 52, 66, 81, 89, 93, 111, 113, 124, 144, 166, 170, 182, 198, 224, 251, 279, 285, 301, 303, 319, 352, 386, 418, 442, 448, 486, 503, 525, 529, 571, 573, 617, 660, 706, 710, 734, 758, 808, 833, 885, 891, 940]

cp's OEIS Frontend

A019312 Taxman sequence: define T(S) by max{x+T(S \ {c : c|x})}, where the max is over all x in S for which S also contains a proper divisor of x; if no such x exists, T(S)=0; set T(n)=T({1,...,n}).

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	7
5	9
6	15
7	17
8	21
9	30
10	40
11	44
12	50
13	52
14	66
15	81
16	89
17	93
18	111
19	113
20	124
21	144
22	166
23	170
24	182
25	198
26	224
27	251
28	279
29	285
30	301
31	303
32	319
33	352
34	386
35	418
36	442
37	448
38	486
39	503
40	525
41	529
42	571
43	573
44	617
45	660
46	706
47	710
48	734
49	758
50	808
51	833
52	885
53	891
54	940

n	a(n)
1	0
2	2
3	3
4	7
5	9
6	15
7	17
8	21
9	30
10	40
11	44
12	50
13	52
14	66
15	81
16	89
17	93
18	111
19	113
20	124
21	144
22	166
23	170
24	182
25	198
26	224
27	251
28	279
29	285
30	301
31	303
32	319
33	352
34	386
35	418
36	442
37	448
38	486
39	503
40	525
41	529
42	571
43	573
44	617
45	660
46	706
47	710
48	734
49	758
50	808
51	833
52	885
53	891
54	940

n	a(n)
1	0
2	2
3	3
4	7
5	9
6	15
7	17
8	21
9	30
10	40
11	44
12	50
13	52
14	66
15	81
16	89
17	93
18	111
19	113
20	124
21	144
22	166
23	170
24	182
25	198
26	224
27	251
28	279
29	285
30	301
31	303
32	319
33	352
34	386
35	418
36	442
37	448
38	486
39	503
40	525
41	529
42	571
43	573
44	617
45	660
46	706
47	710
48	734
49	758
50	808
51	833
52	885
53	891
54	940