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A192669
Floor-Sqrt transform of Motzkin numbers (A001006).
0
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
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
KEYWORD
nonn
AUTHOR
Emanuele Munarini, Jul 07 2011
STATUS
approved