A182204 Numbers n for which A068869(n) < sqrt(n!).

1, 4, 5, 6, 7, 8, 10, 11, 14, 15, 16, 19, 20, 24, 25, 26, 27, 29, 30, 33, 37, 42, 43, 45, 46, 47, 50, 53, 54, 55, 59, 60, 61, 62, 64, 66, 70, 74, 76, 83, 84, 89, 94, 95, 96, 98, 102, 103, 104, 107, 109, 111, 113, 114, 117, 118, 122, 123, 125, 127, 128, 129

Offset

1,2

Comments

There are two cases: A068869(n) > sqrt(n!) see A182203 and A068869(n) < sqrt(n!) this sequence.

Links

Table of n, a(n) for n=1..62.

Mathematica

aa = {}; Do[k = Ceiling[Sqrt[n!]]^2 - n!;
  If[k < Sqrt[n!], AppendTo[aa, n]], {n, 1, 118}]; aa

Crossrefs

Cf. A068869, A182203.

Sequence in context: A076597 A301592 A194414 * A343916 A367187 A121541

Adjacent sequences: A182201 A182202 A182203 * A182205 A182206 A182207

Keyword

nonn

Author

Artur Jasinski, Apr 17 2012

Status

approved