A192684 Floor-Sqrt transform of numbers of A004148 (secondary structures).
1, 1, 1, 1, 2, 2, 4, 6, 9, 13, 20, 31, 47, 73, 112, 174, 269, 418, 651, 1015, 1586, 2481, 3886, 6095, 9571, 15048, 23684, 37312, 58837, 92857, 146667, 231831, 366707, 580438, 919314, 1456898, 2310137, 3665024, 5817475, 9238469, 14677875, 23329993, 37097578, 59013025, 93910464, 149498476
Offset: 0
Keywords
Programs
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Mathematica
FSFromSeries[f_,x_,n_] := Map[Floor[Sqrt[#]]&,CoefficientList[Series[f,{x,0,n}],x]] FSFromSeries[(1-x+x^2-Sqrt[1-2x-x^2-2x^3+x^4])/(2x^2),x,100]
Formula
a(n) = floor(sqrt(A004148(n))).