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

0,3

Links

Table of n, a(n) for n=0..42.

Formula

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

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]

Crossrefs

Sequence in context: A306731 A276059 A034410 * A050194 A288006 A228807

Adjacent sequences: A192679 A192680 A192681 * A192683 A192684 A192685

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved