A352610 - cp's OEIS frontend

A352610 a(0) = 0; a(n+1) = Sum_{d a distinct decimal digit in a(n)} binomial(c(d)-1,2), where c(d) is the number of occurrences of d in a(j), 0 <= j <= n; see comments.

n	a(n)
0	0
1	0
2	1
3	0
4	3
5	0
6	6
7	0
8	10
9	16
10	4
11	0
12	21
13	6
14	3
15	1
16	10
17	43
18	4
19	3
20	6
21	6
22	10
23	57
24	0
25	45
26	7
27	1
28	28
29	1
30	36
31	25
32	6
33	21
34	51
35	61
36	94
37	10
38	133
39	112
40	130
41	230
42	129
43	175
44	184
45	206
46	155
47	231
48	312
49	353
50	106
51	426
52	131
53	416
54	445
55	81
56	381
57	517
58	486
59	143
60	651
61	642
62	249
63	172
64	629

[0, 0, 1, 0, 3, 0, 6, 0, 10, 16, 4, 0, 21, 6, 3, 1, 10, 43, 4, 3, 6, 6, 10, 57, 0, 45, 7, 1, 28, 1, 36, 25, 6, 21, 51, 61, 94, 10, 133, 112, 130, 230, 129, 175, 184, 206, 155, 231, 312, 353, 106, 426, 131, 416, 445, 81, 381, 517, 486, 143, 651, 642, 249, 172, 629]

cp's OEIS Frontend

A352610 a(0) = 0; a(n+1) = Sum_{d a distinct decimal digit in a(n)} binomial(c(d)-1,2), where c(d) is the number of occurrences of d in a(j), 0 <= j <= n; see comments.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	0
4	3
5	0
6	6
7	0
8	10
9	16
10	4
11	0
12	21
13	6
14	3
15	1
16	10
17	43
18	4
19	3
20	6
21	6
22	10
23	57
24	0
25	45
26	7
27	1
28	28
29	1
30	36
31	25
32	6
33	21
34	51
35	61
36	94
37	10
38	133
39	112
40	130
41	230
42	129
43	175
44	184
45	206
46	155
47	231
48	312
49	353
50	106
51	426
52	131
53	416
54	445
55	81
56	381
57	517
58	486
59	143
60	651
61	642
62	249
63	172
64	629

n	a(n)
0	0
1	0
2	1
3	0
4	3
5	0
6	6
7	0
8	10
9	16
10	4
11	0
12	21
13	6
14	3
15	1
16	10
17	43
18	4
19	3
20	6
21	6
22	10
23	57
24	0
25	45
26	7
27	1
28	28
29	1
30	36
31	25
32	6
33	21
34	51
35	61
36	94
37	10
38	133
39	112
40	130
41	230
42	129
43	175
44	184
45	206
46	155
47	231
48	312
49	353
50	106
51	426
52	131
53	416
54	445
55	81
56	381
57	517
58	486
59	143
60	651
61	642
62	249
63	172
64	629

n	a(n)
0	0
1	0
2	1
3	0
4	3
5	0
6	6
7	0
8	10
9	16
10	4
11	0
12	21
13	6
14	3
15	1
16	10
17	43
18	4
19	3
20	6
21	6
22	10
23	57
24	0
25	45
26	7
27	1
28	28
29	1
30	36
31	25
32	6
33	21
34	51
35	61
36	94
37	10
38	133
39	112
40	130
41	230
42	129
43	175
44	184
45	206
46	155
47	231
48	312
49	353
50	106
51	426
52	131
53	416
54	445
55	81
56	381
57	517
58	486
59	143
60	651
61	642
62	249
63	172
64	629