A082907 - cp's OEIS frontend

A082907 A modified Pascal's triangle, read by rows, and modified as follows: binomial(n,j) is replaced by gcd(2^n, binomial(n,j)), i.e., the largest power of 2 dividing binomial(n,j).

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

[1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 2, 4, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 4, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 4, 8, 2, 8, 4, 8, 1, 1, 1, 4, 4, 2, 2, 4, 4, 1, 1, 1, 2, 1, 8, 2, 4, 2, 8, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 2, 4, 1, 8, 4, 8, 1, 4, 2, 4, 1, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 2, 2, 1, 1]

cp's OEIS Frontend

A082907 A modified Pascal's triangle, read by rows, and modified as follows: binomial(n,j) is replaced by gcd(2^n, binomial(n,j)), i.e., the largest power of 2 dividing binomial(n,j).

Table of values

List of values

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

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

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