A087060 Difference between 2n^2 and the nearest square number.
1, 1, 2, 4, 1, 8, 2, 7, 7, 4, 14, 1, 14, 8, 9, 17, 2, 23, 7, 16, 18, 7, 31, 4, 25, 17, 14, 32, 1, 36, 14, 23, 31, 8, 49, 9, 34, 28, 17, 49, 2, 47, 23, 28, 46, 7, 62, 16, 41, 41, 18, 68, 7, 56, 34, 31, 63, 4, 73, 25, 46, 56, 17, 89, 14, 63, 47, 32, 82, 1, 82, 36, 49, 73, 14, 103, 23, 68
Offset: 1
Examples
a(10) = 4 because the difference between 2*10^2 = 200 and the nearest square number (196) is 4.
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
dnsn[n_]:=Module[{c=2n^2,a,b},a=Floor[Sqrt[c]]^2;b=Ceiling[Sqrt[c]]^2;Min[c-a,b-c]]; Array[dnsn,80] (* Harvey P. Dale, Jul 01 2017 *)
Comments