cp's OEIS Frontend

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.

A212739 a(n) = 2^(n^2) - 1.

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%I A212739 #27 Sep 30 2024 14:22:01
%S A212739 0,1,15,511,65535,33554431,68719476735,562949953421311,
%T A212739 18446744073709551615,2417851639229258349412351,
%U A212739 1267650600228229401496703205375,2658455991569831745807614120560689151,22300745198530623141535718272648361505980415
%N A212739 a(n) = 2^(n^2) - 1.
%C A212739 Number of grains for squared chessboards.
%H A212739 Wikipedia, <a href="https://en.wikipedia.org/wiki/Wheat_and_chessboard_problem">Wheat and chessboard problem</a>
%F A212739 a(n) = 2^(n^2) - 1 = A002416(n) - 1. - _Omar E. Pol_, Jun 11 2012
%e A212739 For usual 8 X 8 chessboard there are 2^64 - 1 = 18446744073709551615 grains.
%p A212739 a:= n-> 2^(n^2)-1:
%p A212739 seq(a(n), n=0..15);
%t A212739 2^Range[0, 12]^2 - 1 (* _Paul F. Marrero Romero_, Sep 30 2024 *)
%Y A212739 Cf. A000225, A002416.
%K A212739 nonn
%O A212739 0,3
%A A212739 _Jani Melik_, Jun 06 2012
%E A212739 Better name from _Omar E. Pol_, Jun 11 2012