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 A152099 #19 Jun 26 2023 19:01:35 %S A152099 15,63,1023,16383,4194303,67108863,17179869183,274877906943, %T A152099 70368744177663,288230376151711743,4611686018427387903, %U A152099 18889465931478580854783,4835703278458516698824703,77371252455336267181195263,19807040628566084398385987583 %N A152099 a(n) = (2^prime(n) - 1)*(2^prime(n) + 1) = 2^(2*prime(n)) - 1. %C A152099 Idea resulted from seqfan posts by _Artur Jasinski_. %F A152099 a(n) = A001348(n) * A098640(n). %F A152099 a(n) = A034785(n)^2 - 1. %F A152099 a(n) = A000302(A000040(n)) - 1. %t A152099 Table[(2^Prime[n] - 1)*(2^Prime[n] + 1), {n, 1, 20}] %o A152099 (Python) %o A152099 from sympy import prime %o A152099 def A152099(n): return (1<<(prime(n)<<1))-1 # _Chai Wah Wu_, Jun 26 2023 %Y A152099 Cf. A000040, A000302, A001348, A034785, A098640. %K A152099 nonn %O A152099 1,1 %A A152099 _Roger L. Bagula_, Nov 24 2008