A192673 Floor-Sqrt transform of large Schroder numbers (A006318).

1, 1, 2, 4, 9, 19, 42, 92, 203, 453, 1018, 2300, 5224, 11919, 27301, 62750, 144662, 334392, 774802, 1799089, 4185524, 9754468, 22769099, 53225213, 124585182, 291975928, 685044632, 1608962053, 3782645385, 8901012965, 20962890607, 49409138924, 116543063346, 275086432485

Offset

0,3

Links

Table of n, a(n) for n=0..33.

Formula

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

Mathematica

 FSFromSeries[f_, x_, n_] := Map[Floor[Sqrt[#]]&, CoefficientList[Series[f, {x, 0, n}], x]]
FSFromSeries[(1-x-Sqrt[1-6x+x^2])/(2x), x, 100]

Crossrefs

Sequence in context: A307464 A127681 A192923 * A193021 A112569 A301706

Adjacent sequences: A192670 A192671 A192672 * A192674 A192675 A192676

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved