A192680 Floor-Sqrt transform of Sylvester continuants (A002801).

1, 1, 1, 2, 7, 20, 65, 232, 883, 3581, 15383, 69579, 329769, 1631137, 8391824, 44777342, 247182082, 1408611456, 8270902948, 49953724226, 309870713560, 1971523962002, 12849924998486, 85702472618249, 584305721381119, 4068533850711783, 28907888594859403

Offset

0,4

Links

Table of n, a(n) for n=0..26.

Formula

a(n) = floor(sqrt(A002801(n))).

Mathematica

 FSFromExpSeries[f_, x_, n_] := Map[Floor[Sqrt[#]]&, CoefficientList[Series[f, {x, 0, n}], x]Table[k!, {k, 0, n}]]
FSFromExpSeries[Exp[x/2]/(1-2x)^(1/4), x, 40]

Crossrefs

Sequence in context: A035071 A055891 A122877 * A000150 A318232 A304787

Adjacent sequences: A192677 A192678 A192679 * A192681 A192682 A192683

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved