A139388 - OEIS

%I #5 Sep 27 2024 05:30:35

%S 4,12,19,25,29,33,37,40,43,46,48,51,53,55,57,59,61,62,64,65,67,68,70,

%T 71,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,90,91,92,93,94,

%U 95,95,96,97,98,98,99,100,101,101,102,103,103,104,105,105,106,106,107,108

%N Nearest integer to (log(744+(12(n^2-1))^3)/Pi)^2.

%C The well-known integers very close to e^(pi sqrt n) for n=A003173(m) are of the form (12(k^2-1))^3+744. This sequence gives the rounded n-value corresponding to a given k.

%D See A138852 for links, references and more information.

%o (PARI) A139388(n)=round((log(744+(12*(n^2-1))^3)/Pi)^2)

%Y Cf. A138851-A138852, A003173, A014708, A056581 and references therein.

%K nonn,easy

%O 1,1

%A _M. F. Hasler_, Apr 17 2008