A336776 - cp's OEIS frontend

A336776 a(n) is the least number of repetitions such that the result of the repeated execution of the multiplication f <- f*n started at f=1 produces an overflow, when the multiplication is performed using 32-bit single precision floats according to the IEEE 754 standard.

n	a(n)
2	128
3	81
4	64
5	56
6	50
7	46
8	43
9	41
10	39
11	38
12	36
13	35
14	34
15	33
16	32
17	32
18	31
19	31
20	30
21	30
22	29
23	29
24	28
25	28
26	28
27	27
28	27
29	27
30	27
31	26
32	26
33	26
34	26
35	25
36	25
37	25
38	25
39	25
40	25
41	24
42	24
43	24
44	24
45	24
46	24
47	24
48	23
49	23
50	23
51	23
52	23
53	23
54	23
55	23
56	23
57	22
58	22
59	22
60	22
61	22
62	22
63	22
64	22
65	22
66	22
67	22
68	22
69	21

[128, 81, 64, 56, 50, 46, 43, 41, 39, 38, 36, 35, 34, 33, 32, 32, 31, 31, 30, 30, 29, 29, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 26, 25, 25, 25, 25, 25, 25, 24, 24, 24, 24, 24, 24, 24, 23, 23, 23, 23, 23, 23, 23, 23, 23, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 21]

cp's OEIS Frontend

A336776 a(n) is the least number of repetitions such that the result of the repeated execution of the multiplication f <- f*n started at f=1 produces an overflow, when the multiplication is performed using 32-bit single precision floats according to the IEEE 754 standard.

Table of values

List of values

n	a(n)
2	128
3	81
4	64
5	56
6	50
7	46
8	43
9	41
10	39
11	38
12	36
13	35
14	34
15	33
16	32
17	32
18	31
19	31
20	30
21	30
22	29
23	29
24	28
25	28
26	28
27	27
28	27
29	27
30	27
31	26
32	26
33	26
34	26
35	25
36	25
37	25
38	25
39	25
40	25
41	24
42	24
43	24
44	24
45	24
46	24
47	24
48	23
49	23
50	23
51	23
52	23
53	23
54	23
55	23
56	23
57	22
58	22
59	22
60	22
61	22
62	22
63	22
64	22
65	22
66	22
67	22
68	22
69	21

n	a(n)
2	128
3	81
4	64
5	56
6	50
7	46
8	43
9	41
10	39
11	38
12	36
13	35
14	34
15	33
16	32
17	32
18	31
19	31
20	30
21	30
22	29
23	29
24	28
25	28
26	28
27	27
28	27
29	27
30	27
31	26
32	26
33	26
34	26
35	25
36	25
37	25
38	25
39	25
40	25
41	24
42	24
43	24
44	24
45	24
46	24
47	24
48	23
49	23
50	23
51	23
52	23
53	23
54	23
55	23
56	23
57	22
58	22
59	22
60	22
61	22
62	22
63	22
64	22
65	22
66	22
67	22
68	22
69	21

n	a(n)
2	128
3	81
4	64
5	56
6	50
7	46
8	43
9	41
10	39
11	38
12	36
13	35
14	34
15	33
16	32
17	32
18	31
19	31
20	30
21	30
22	29
23	29
24	28
25	28
26	28
27	27
28	27
29	27
30	27
31	26
32	26
33	26
34	26
35	25
36	25
37	25
38	25
39	25
40	25
41	24
42	24
43	24
44	24
45	24
46	24
47	24
48	23
49	23
50	23
51	23
52	23
53	23
54	23
55	23
56	23
57	22
58	22
59	22
60	22
61	22
62	22
63	22
64	22
65	22
66	22
67	22
68	22
69	21