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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.

A383182 a(n) = 2^n - A129629(n+1).

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%I A383182 #9 Jun 01 2025 18:52:05
%S A383182 0,1,1,1,2,1,1,5,1,1,9,1,4,16,1,1,33,11,1,65,1,1,142,1,8,257,1,35,513,
%T A383182 1,1,1038,67,1,2049,1,1,4220,39,1,8192,1,259,16385,1,71,32769,515,1,
%U A383182 65550,1,1,132211,1,1,262145,1,2051,524302,263,32,1048577,4096,1,2097153,1,519,4202480,1,1
%N A383182 a(n) = 2^n - A129629(n+1).
%C A383182 We observe that 2^(n-1) - A129629(n) often equals 1, and otherwise this difference is often the sum of only one or two distinct powers of two.
%o A383182 (PARI) A383182(n)=2^n-A129629(n+1)
%Y A383182 Cf. A129629.
%K A383182 nonn
%O A383182 0,5
%A A383182 _M. F. Hasler_, May 27 2025