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 A127959 #8 Sep 15 2018 19:30:28 %S A127959 171,10923,699051,11184811,44739243,178956971,2863311531,11453246123, %T A127959 45812984491,183251937963,733007751851,11728124029611,46912496118443, %U A127959 187649984473771,750599937895083,3002399751580331,12009599006321323 %N A127959 Nonprime numbers of the form 1 + Sum_{k=1..m} 2^(2*k - 1). %C A127959 Prime numbers of the form 1 + Sum_{k=1..m} 2^(2*n - 1) is A000979. Numbers x such that 1 + Sum_{k=1..m} 2^(2*n - 1) is prime for n=1,2,...,x is A127936. A127955 is probably a subset of the present sequence. %t A127959 a = {}; Do[c = 1 + Sum[2^(2n - 1), {n, 1, x}]; If[PrimeQ[c] == False, AppendTo[a, c]], {x, 1, 50}]; a %t A127959 Select[Table[Sum[2^(2k-1),{k,n}]+1,{n,50}],!PrimeQ[#]&] (* _Harvey P. Dale_, Dec 23 2017 *) %Y A127959 Cf. A000979, A000978, A124400, A126614, A127955, A127956, A127957, A127958, A127936. %K A127959 nonn %O A127959 1,1 %A A127959 _Artur Jasinski_, Feb 09 2007