A197716 a(n) = ceiling((2n+1/n)^n).

3, 21, 255, 4633, 110409, 3243618, 113177497, 4570858600, 209655304353, 10763674952098, 611433842280388, 38071427445729201, 2578294348444597267, 188670154792420320215, 14834716200104606205408, 1247263229999781126495328, 111661618863544248806155260

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..300

Mathematica

Array[Ceiling[(2*# + 1/#)^#] &, 20] (* Paolo Xausa, Feb 04 2025 *)

Prog

(Magma) [Ceiling((2*n+1/n)^n): n in [1..20]];
(PARI) a(n)=ceil((2*n+1/n)^n) \\ Charles R Greathouse IV, Nov 21 2011

Crossrefs

Cf. A014058.

Sequence in context: A355099 A209917 A179504 * A336638 A317059 A262939

Adjacent sequences: A197713 A197714 A197715 * A197717 A197718 A197719

Keyword

nonn,less

Author

Vincenzo Librandi, Oct 18 2011

Status

approved