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 A065869 #17 May 09 2025 19:21:29
%S A065869 57,1016801,4363953127297,1297440698667560637290197228189697,
%T A065869 91332703321545501540374299322682400349546864641,
%U A065869 7588492464653843921408409789152927606760448769729047438304822150910706202078740481
%N A065869 a(n) = (2^(prime(n)^2) + 1)/(2^prime(n) + 1).
%H A065869 Harry J. Smith, <a href="/A065869/b065869.txt">Table of n, a(n) for n = 2..16</a>
%F A065869 a(n) = A069255((prime(n)+1)/2). - _Andrew Howroyd_, Dec 09 2024
%t A065869 (2^#^2+1)/(2^#+1)&/@Prime[Range[2,10]] (* _Harvey P. Dale_, May 09 2025 *)
%o A065869 (PARI) a(n) = { (2^(prime(n)^2) + 1)/(2^prime(n) + 1) } \\ _Harry J. Smith_, Nov 02 2009
%Y A065869 Cf. A051156, A069255.
%K A065869 nonn
%O A065869 2,1
%A A065869 _Benoit Cloitre_, Dec 07 2001