:~$ (for i in $(seq 1 60) ; do echo "scale = 15 ; foo=sqrt(3488.54 / ($i * $i)) + 0.005 ; scale = 2 ; bar=foo / 1 ; scale=15 ; qux=(sqrt(3488.54) - (bar * $i)) / sqrt(3488.54) ; print \"$i * sqrt(\" ; print 3488.54 / ($i * $i) ; print \") = $i * \" ; print bar ; print \" = \" ; print bar * $i ; print \" + \" ; print sqrt(3488.54) - (bar * $i) ; print \"\\n\" " ; done) | bc -l
1 * sqrt(3488.540000000000000) = 1 * 59.06 = 59.06 + .003863740869509
2 * sqrt(872.135000000000000) = 2 * 29.53 = 59.06 + .003863740869509
3 * sqrt(387.615555555555555) = 3 * 19.69 = 59.07 + -.006136259130491
4 * sqrt(218.033750000000000) = 4 * 14.77 = 59.08 + -.016136259130491
5 * sqrt(139.541600000000000) = 5 * 11.81 = 59.05 + .013863740869509
6 * sqrt(96.903888888888888) = 6 * 9.84 = 59.04 + .023863740869509
7 * sqrt(71.194693877551020) = 7 * 8.44 = 59.08 + -.016136259130491
8 * sqrt(54.508437500000000) = 8 * 7.38 = 59.04 + .023863740869509
9 * sqrt(43.068395061728395) = 9 * 6.56 = 59.04 + .023863740869509
10 * sqrt(34.885400000000000) = 10 * 5.91 = 59.10 + -.036136259130491
11 * sqrt(28.830909090909090) = 11 * 5.37 = 59.07 + -.006136259130491
12 * sqrt(24.225972222222222) = 12 * 4.92 = 59.04 + .023863740869509
13 * sqrt(20.642248520710059) = 13 * 4.54 = 59.02 + .043863740869509
14 * sqrt(17.798673469387755) = 14 * 4.22 = 59.08 + -.016136259130491
15 * sqrt(15.504622222222222) = 15 * 3.94 = 59.10 + -.036136259130491
16 * sqrt(13.627109375000000) = 16 * 3.69 = 59.04 + .023863740869509
17 * sqrt(12.071072664359861) = 17 * 3.47 = 58.99 + .073863740869509
18 * sqrt(10.767098765432098) = 18 * 3.28 = 59.04 + .023863740869509
19 * sqrt(9.663545706371191) = 19 * 3.11 = 59.09 + -.026136259130491
20 * sqrt(8.721350000000000) = 20 * 2.95 = 59.00 + .063863740869509
21 * sqrt(7.910521541950113) = 21 * 2.81 = 59.01 + .053863740869509
22 * sqrt(7.207727272727272) = 22 * 2.68 = 58.96 + .103863740869509
23 * sqrt(6.594593572778827) = 23 * 2.57 = 59.11 + -.046136259130491
24 * sqrt(6.056493055555555) = 24 * 2.46 = 59.04 + .023863740869509
25 * sqrt(5.581664000000000) = 25 * 2.36 = 59.00 + .063863740869509
26 * sqrt(5.160562130177514) = 26 * 2.27 = 59.02 + .043863740869509
27 * sqrt(4.785377229080932) = 27 * 2.19 = 59.13 + -.066136259130491
28 * sqrt(4.449668367346938) = 28 * 2.11 = 59.08 + -.016136259130491
29 * sqrt(4.148085612366230) = 29 * 2.04 = 59.16 + -.096136259130491
30 * sqrt(3.876155555555555) = 30 * 1.97 = 59.10 + -.036136259130491
31 * sqrt(3.630114464099895) = 31 * 1.91 = 59.21 + -.146136259130491
32 * sqrt(3.406777343750000) = 32 * 1.85 = 59.20 + -.136136259130491
33 * sqrt(3.203434343434343) = 33 * 1.79 = 59.07 + -.006136259130491
34 * sqrt(3.017768166089965) = 34 * 1.74 = 59.16 + -.096136259130491
35 * sqrt(2.847787755102040) = 35 * 1.69 = 59.15 + -.086136259130491
36 * sqrt(2.691774691358024) = 36 * 1.64 = 59.04 + .023863740869509
37 * sqrt(2.548239590942293) = 37 * 1.60 = 59.20 + -.136136259130491
38 * sqrt(2.415886426592797) = 38 * 1.55 = 58.90 + .163863740869509
39 * sqrt(2.293583168967784) = 39 * 1.51 = 58.89 + .173863740869509
40 * sqrt(2.180337500000000) = 40 * 1.48 = 59.20 + -.136136259130491
41 * sqrt(2.075276621058893) = 41 * 1.44 = 59.04 + .023863740869509
42 * sqrt(1.977630385487528) = 42 * 1.41 = 59.22 + -.156136259130491
43 * sqrt(1.886717144402379) = 43 * 1.37 = 58.91 + .153863740869509
44 * sqrt(1.801931818181818) = 44 * 1.34 = 58.96 + .103863740869509
45 * sqrt(1.722735802469135) = 45 * 1.31 = 58.95 + .113863740869509
46 * sqrt(1.648648393194706) = 46 * 1.28 = 58.88 + .183863740869509
47 * sqrt(1.579239474875509) = 47 * 1.26 = 59.22 + -.156136259130491
48 * sqrt(1.514123263888888) = 48 * 1.23 = 59.04 + .023863740869509
49 * sqrt(1.452952936276551) = 49 * 1.21 = 59.29 + -.226136259130491
50 * sqrt(1.395416000000000) = 50 * 1.18 = 59.00 + .063863740869509
51 * sqrt(1.341230296039984) = 51 * 1.16 = 59.16 + -.096136259130491
52 * sqrt(1.290140532544378) = 52 * 1.14 = 59.28 + -.216136259130491
53 * sqrt(1.241915272338910) = 53 * 1.11 = 58.83 + .233863740869509
54 * sqrt(1.196344307270233) = 54 * 1.09 = 58.86 + .203863740869509
55 * sqrt(1.153236363636363) = 55 * 1.07 = 58.85 + .213863740869509
56 * sqrt(1.112417091836734) = 56 * 1.05 = 58.80 + .263863740869509
57 * sqrt(1.073727300707910) = 57 * 1.04 = 59.28 + -.216136259130491
58 * sqrt(1.037021403091557) = 58 * 1.02 = 59.16 + -.096136259130491
59 * sqrt(1.002166044240160) = 59 * 1.00 = 59.00 + .063863740869509
60 * sqrt(.969038888888888) = 60 * .98 = 58.80 + .263863740869509