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A336112 a(n) is the least number k such that the Sum_{i=0..k} sqrt(k) equals or exceeds n.

Table of values

n a(n)
0 0
1 1
2 2
3 3
4 3
5 4
6 4
7 5
8 5
9 6
10 6
11 7
12 7
13 7
14 8
15 8
16 8
17 9
18 9
19 9
20 10
21 10
22 10
23 11
24 11
25 11
26 12
27 12
28 12
29 12
30 13
31 13
32 13
33 14
34 14
35 14
36 14
37 15
38 15
39 15
40 15
41 16
42 16
43 16
44 16
45 17
46 17
47 17
48 17
49 18
50 18
51 18
52 18
53 19
54 19
55 19
56 19
57 19
58 20
59 20
60 20
61 20
62 21
63 21
64 21
65 21
66 21
67 22
68 22
69 22
70 22
71 23
72 23
73 23
74 23

List of values

[0, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23]

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