A192669 Floor-Sqrt transform of Motzkin numbers (A001006).

1, 1, 1, 2, 3, 4, 7, 11, 17, 28, 46, 76, 124, 204, 337, 557, 923, 1535, 2556, 4266, 7131, 11939, 20019, 33611, 56504, 95096, 160218, 270199, 456095, 770547, 1302837, 2204486, 3732769, 6324750, 10723278, 18191510, 30878276, 52440601, 89104745, 151475242, 257620263, 438335394, 746126537

Offset

0,4

Links

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

Formula

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

Mathematica

 FSFromSeries[f_, x_, n_] := Map[Floor[Sqrt[#]]&, CoefficientList[Series[f, {x, 0, n}], x]]
FSFromSeries[(1-x-Sqrt[1-2x-3x^2])/(2x^2), x, 100]

Crossrefs

Sequence in context: A173173 A303025 A346020 * A339484 A072164 A060987

Adjacent sequences: A192666 A192667 A192668 * A192670 A192671 A192672

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved