A050601 - cp's OEIS frontend

A050601 Recursion counts for summation table A003056 with formula a(0,x) = x, a(y,0) = y, a(y,x) = a((y XOR x),2*(y AND x)).

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	2
12	1
13	2
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	2
23	1
24	1
25	1
26	2
27	0
28	0
29	1
30	1
31	1
32	1
33	1
34	1
35	0
36	0
37	3
38	2
39	3
40	1
41	3
42	2
43	3
44	0
45	0
46	1
47	3
48	3
49	2
50	2
51	3
52	3
53	1
54	0
55	0
56	2
57	1
58	3
59	2
60	1
61	2
62	3
63	1
64	2
65	0
66	0
67	1
68	1
69	1
70	2
71	2
72	2
73	2
74	1
75	1
76	1
77	0
78	0
79	3
80	2
81	3
82	1
83	3
84	1
85	3
86	1
87	3
88	2
89	3
90	0
91	0
92	1
93	2
94	2
95	1
96	1
97	2
98	2
99	1
100	1
101	2
102	2
103	1
104	0
105	0
106	2
107	1
108	2
109	1
110	2
111	1
112	1
113	1
114	2
115	1
116	2
117	1
118	2
119	0

[0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 3, 1, 3, 2, 3, 0, 0, 1, 3, 3, 2, 2, 3, 3, 1, 0, 0, 2, 1, 3, 2, 1, 2, 3, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 3, 1, 3, 1, 3, 1, 3, 2, 3, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0]

cp's OEIS Frontend

A050601 Recursion counts for summation table A003056 with formula a(0,x) = x, a(y,0) = y, a(y,x) = a((y XOR x),2*(y AND x)).

Table of values

List of values

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	2
12	1
13	2
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	2
23	1
24	1
25	1
26	2
27	0
28	0
29	1
30	1
31	1
32	1
33	1
34	1
35	0
36	0
37	3
38	2
39	3
40	1
41	3
42	2
43	3
44	0
45	0
46	1
47	3
48	3
49	2
50	2
51	3
52	3
53	1
54	0
55	0
56	2
57	1
58	3
59	2
60	1
61	2
62	3
63	1
64	2
65	0
66	0
67	1
68	1
69	1
70	2
71	2
72	2
73	2
74	1
75	1
76	1
77	0
78	0
79	3
80	2
81	3
82	1
83	3
84	1
85	3
86	1
87	3
88	2
89	3
90	0
91	0
92	1
93	2
94	2
95	1
96	1
97	2
98	2
99	1
100	1
101	2
102	2
103	1
104	0
105	0
106	2
107	1
108	2
109	1
110	2
111	1
112	1
113	1
114	2
115	1
116	2
117	1
118	2
119	0

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	2
12	1
13	2
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	2
23	1
24	1
25	1
26	2
27	0
28	0
29	1
30	1
31	1
32	1
33	1
34	1
35	0
36	0
37	3
38	2
39	3
40	1
41	3
42	2
43	3
44	0
45	0
46	1
47	3
48	3
49	2
50	2
51	3
52	3
53	1
54	0
55	0
56	2
57	1
58	3
59	2
60	1
61	2
62	3
63	1
64	2
65	0
66	0
67	1
68	1
69	1
70	2
71	2
72	2
73	2
74	1
75	1
76	1
77	0
78	0
79	3
80	2
81	3
82	1
83	3
84	1
85	3
86	1
87	3
88	2
89	3
90	0
91	0
92	1
93	2
94	2
95	1
96	1
97	2
98	2
99	1
100	1
101	2
102	2
103	1
104	0
105	0
106	2
107	1
108	2
109	1
110	2
111	1
112	1
113	1
114	2
115	1
116	2
117	1
118	2
119	0

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	2
12	1
13	2
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	2
23	1
24	1
25	1
26	2
27	0
28	0
29	1
30	1
31	1
32	1
33	1
34	1
35	0
36	0
37	3
38	2
39	3
40	1
41	3
42	2
43	3
44	0
45	0
46	1
47	3
48	3
49	2
50	2
51	3
52	3
53	1
54	0
55	0
56	2
57	1
58	3
59	2
60	1
61	2
62	3
63	1
64	2
65	0
66	0
67	1
68	1
69	1
70	2
71	2
72	2
73	2
74	1
75	1
76	1
77	0
78	0
79	3
80	2
81	3
82	1
83	3
84	1
85	3
86	1
87	3
88	2
89	3
90	0
91	0
92	1
93	2
94	2
95	1
96	1
97	2
98	2
99	1
100	1
101	2
102	2
103	1
104	0
105	0
106	2
107	1
108	2
109	1
110	2
111	1
112	1
113	1
114	2
115	1
116	2
117	1
118	2
119	0