This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A080395 #16 Jul 31 2025 10:06:16
%S A080395 1848,2574,4004,4290,6732,7480,8398,12012,12236,17710,20930,22770,
%T A080395 24570,24650,24882,25080,25194,26796,27132,30160,31668,36540,36708,
%U A080395 37674,37944,38454,47124,47740,51282,51480,53200,57288,62160,68376,69930,70840,73260,75480,83640
%N A080395 Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k^2.
%C A080395 a(n)/2 is a term of A121943 for all n. - _Amiram Eldar_, Mar 07 2022
%H A080395 Chai Wah Wu, <a href="/A080395/b080395.txt">Table of n, a(n) for n = 1..10000</a>
%t A080395 Do[s=Binomial[n, n/2]/n^2; If[IntegerQ[s], Print[n]], {n, 1, 50000}]
%t A080395 Select[2Range[50000],Mod[Binomial[#,#/2],#^2]==0&] (* _Harvey P. Dale_, Jan 27 2025 *)
%Y A080395 Cf. A001405, A000984, A067348, A080394, A121943.
%K A080395 nonn
%O A080395 1,1
%A A080395 _Labos Elemer_, Mar 18 2003
%E A080395 Name corrected and more terms added by _Amiram Eldar_, Mar 07 2022