A064930 Inverse square of A034175 considered as a permutation of the nonnegative integers (which it is conjectured to be).
0, 1, 9, 11, 12, 40, 2, 24, 58, 25, 7, 13, 31, 32, 4, 8, 10, 57, 42, 34, 5, 3, 17, 27, 20, 102, 36, 48, 45, 14, 29, 15, 87, 6, 38, 41, 22, 37, 47, 21, 63, 30, 44, 16, 28, 103, 19, 49, 35, 112, 69, 71, 26, 18, 85, 79, 33, 43, 64, 125, 116, 59, 181, 55, 50, 105, 104, 106
Offset: 0
Programs
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Mathematica
a[0]=b[0]=0; lst={0}; For[n=1, n<250, n++, For[s=Ceiling[Sqrt[a[n-1]]], MemberQ[lst, s^2-a[n-1]], s++, Null]; b[a[n]=s^2-a[n-1]]=n; AppendTo[lst, a[n]]]; Table[b[b[n]], {n, 0, 100}]