A192683 Floor-Sqrt transform of numbers of A078679 (Grand Motzkin paths with no zigzags).

1, 1, 1, 2, 4, 6, 10, 17, 27, 45, 74, 122, 201, 332, 548, 907, 1502, 2490, 4131, 6859, 11396, 18944, 31510, 52437, 87305, 145418, 242310, 403909, 673507, 1123409, 1874396, 3128270, 5222267, 8720050, 14563897, 24329283, 40650780, 67934677, 113551476, 189831651, 317406103, 530797959, 887783981

Offset

0,4

Links

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

Formula

a(n) = floor(sqrt(A078679(n))).

Mathematica

 FSFromSeries[f_, x_, n_] := Map[Floor[Sqrt[#]]&, CoefficientList[Series[f, {x, 0, n}], x]]
FSFromSeries[Sqrt[(1-x+x^2)/(1-3x+x^3+x^4)], x, 100]

Crossrefs

Sequence in context: A158510 A004695 A014216 * A079961 A303430 A144023

Adjacent sequences: A192680 A192681 A192682 * A192684 A192685 A192686

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved