A192682 Floor-Sqrt transform of numbers of A078678 (Grand Dyck paths with no zigzags).

1, 1, 2, 2, 4, 6, 10, 15, 24, 38, 60, 95, 150, 238, 379, 602, 959, 1529, 2439, 3893, 6218, 9939, 15896, 25436, 40719, 65214, 104486, 167470, 268514, 430661, 690929, 1108799, 1779860, 2857757, 4589497, 7372235, 11844653, 19033982, 30592616, 49178930, 79070268, 127149739, 204494942

Offset: 0

Author

Emanuele Munarini, Jul 07 2011

Keywords

• nonn

Programs

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],x,100]

Formula

a(n) = floor(sqrt(A078678(n))).