A362006 - cp's OEIS frontend

A362006 a(n) is the minimum integer m such that floor(e^n) = floor(Sum_{k=0..m} (n^k)/(k!)).

n	a(n)
0	0
1	1
2	4
3	8
4	9
5	12
6	15
7	17
8	19
9	24
10	25
11	29
12	30
13	34
14	37
15	39
16	41
17	44
18	48
19	49
20	52
21	55
22	59
23	61
24	62
25	66
26	68
27	70
28	74
29	79
30	79
31	82
32	84
33	89
34	89
35	92
36	96
37	98
38	102
39	103
40	106
41	110
42	112
43	114
44	116
45	122
46	124
47	126
48	128
49	132
50	133
51	137
52	138
53	141
54	144
55	147
56	151
57	152
58	154
59	158
60	161

[0, 1, 4, 8, 9, 12, 15, 17, 19, 24, 25, 29, 30, 34, 37, 39, 41, 44, 48, 49, 52, 55, 59, 61, 62, 66, 68, 70, 74, 79, 79, 82, 84, 89, 89, 92, 96, 98, 102, 103, 106, 110, 112, 114, 116, 122, 124, 126, 128, 132, 133, 137, 138, 141, 144, 147, 151, 152, 154, 158, 161]

cp's OEIS Frontend

A362006 a(n) is the minimum integer m such that floor(e^n) = floor(Sum_{k=0..m} (n^k)/(k!)).

Table of values

List of values

n	a(n)
0	0
1	1
2	4
3	8
4	9
5	12
6	15
7	17
8	19
9	24
10	25
11	29
12	30
13	34
14	37
15	39
16	41
17	44
18	48
19	49
20	52
21	55
22	59
23	61
24	62
25	66
26	68
27	70
28	74
29	79
30	79
31	82
32	84
33	89
34	89
35	92
36	96
37	98
38	102
39	103
40	106
41	110
42	112
43	114
44	116
45	122
46	124
47	126
48	128
49	132
50	133
51	137
52	138
53	141
54	144
55	147
56	151
57	152
58	154
59	158
60	161

n	a(n)
0	0
1	1
2	4
3	8
4	9
5	12
6	15
7	17
8	19
9	24
10	25
11	29
12	30
13	34
14	37
15	39
16	41
17	44
18	48
19	49
20	52
21	55
22	59
23	61
24	62
25	66
26	68
27	70
28	74
29	79
30	79
31	82
32	84
33	89
34	89
35	92
36	96
37	98
38	102
39	103
40	106
41	110
42	112
43	114
44	116
45	122
46	124
47	126
48	128
49	132
50	133
51	137
52	138
53	141
54	144
55	147
56	151
57	152
58	154
59	158
60	161

n	a(n)
0	0
1	1
2	4
3	8
4	9
5	12
6	15
7	17
8	19
9	24
10	25
11	29
12	30
13	34
14	37
15	39
16	41
17	44
18	48
19	49
20	52
21	55
22	59
23	61
24	62
25	66
26	68
27	70
28	74
29	79
30	79
31	82
32	84
33	89
34	89
35	92
36	96
37	98
38	102
39	103
40	106
41	110
42	112
43	114
44	116
45	122
46	124
47	126
48	128
49	132
50	133
51	137
52	138
53	141
54	144
55	147
56	151
57	152
58	154
59	158
60	161