"Fractional part" of x here is defined as x - floor(x), so, e.g., since tan(11) = -225.95084..., its fractional part is -225.95084... - (-226) = 0.04915...
Terms and fractional parts are as follows:
.
n k = a(n) tan(k) - floor(tan(k))
-- ------------ ----------------------
1 1 0.55740772465490223...
2 4 0.15782128234957758...
3 11 0.04915354580485797...
4 22 0.00885165604168446...
5 80 0.00365494560707973...
6 355 0.00003014435337318...
7 11270 0.00001427816936167...
8 26087 0.00000550749362596...
9 286602 0.00000029389002962...
10 301419 0.00000022540911069...
11 5419351 0.00000003820047507...
12 21390802 0.00000001171381405...
13 144316263 0.00000000559574875...
14 167004362 0.00000000046598564...
15 2549491779 0.00000000044744949...
16 2816733503 0.00000000037258234...
17 5900708730 0.00000000022284805...
18 8984683957 0.00000000007311376...
19 30038027098 0.00000000006960700...
20 31037086001 0.00000000001573866...
21 84380376926 0.00000000001010671...
22 199507230388 0.00000000000293624...
23 302095980547 0.00000000000151187...
24 306607554715 0.00000000000103988...
(End)
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