!Cards Exp. Chart

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The following is a table calculating the amount of experience required to raise an ability card to its maximum level.

Level EXP Cumulative EXP
1 - -
2 500 500
3 600 1100
4 750 1850
5 950 2800
6 1200 4000
7 1500 5500
8 1851 7351
9 2253 9604
10 2706 12310
11 3210 15520
12 3766 19286
13 4374 23660
14 5034 28694
15 5746 34440
16 6511 40951
17 7329 48280
18 8200 56480
19 9124 65604
20 10102 75706
21 11134 86840
22 12220 99060
23 13360 112420
24 14555 126975
25 15805 142780
26 17110 159890
27 18470 178360
28 19886 198246
29 21358 219604
30 22886 242490
31 24470 266960
32 26111 293071
33 27809 320880
34 29564 350444
35 31376 381820
36 33246 415066
37 35174 450240
38 37160 487400
39 39204 526604
40 41307 567911
41 43469 611380
42 45690 657070
43 47970 705040
44 50310 755350
45 52710 808060
46 55170 863230
47 57690 920920
48 60271 981191
49 62913 1044104
50 65616 1109720
51 68380 1178100
52 71206 1249306
53 74094 1323400
54 77044 1400444
55 80056 1480500
56 83131 1563631
57 86269 1649900
58 89470 1739370
59 92734 1832104
60 96062 1928166
61 99454 2027620
62 102910 2130530
63 106430 2236960
64 110015 2346975
65 113665 2460640
66 117380 2578020
67 121160 2699180
68 125006 2824186
69 128918 2953104
70 132896 3086000
71 136940 3222940
72 141051 3363991
73 145229 3509220
74 149474 3658694

Formula[edit | edit source]

The experience required for any level can be computed by:

local p = {}

-- Initialize the first two values.
local exps = {500, 600}

function p.EXP(n)
	if n < 1 then
		return 0
	elseif exps[n] == nil then
		exps[n] = p.EXP(n-1) * 2 - p.EXP(n-2) + math.floor((n+1)/4) + 49
	end
	return exps[n]
end

return p

References[edit | edit source]