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.

A232819 Real part of the sum over the n-th powers of all Gaussian integers in the n X n base square in the first quadrant.

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%I A232819 #17 Nov 13 2014 04:21:01
%S A232819 1,0,-144,-2568,-28200,0,15203328,675195936,16696909080,0,
%T A232819 -25789252433472,-1612260342054360,-54804262577596532,0,
%U A232819 161017938434267136000,13718166932451951573120,621130358284578576358416,0,-3008072527724272784969384000,-320196271193421334219630013080
%N A232819 Real part of the sum over the n-th powers of all Gaussian integers in the n X n base square in the first quadrant.
%H A232819 Colin Barker, <a href="/A232819/b232819.txt">Table of n, a(n) for n = 1..200</a>
%F A232819 a(A016825(n)) = 0, for n>=0. - _Michel Marcus_, Nov 09 2014
%t A232819 g[n_] := Sum[(a + b I)^n, {a, 1, n}, {b, 1, n}]; Table[Re[g[n]], {n, 33}]
%o A232819 (PARI) vector(100, n, real(sum(x=1, n, sum(y=1, n, (x+I*y)^n)))) \\ _Colin Barker_, Nov 09 2014
%Y A232819 Cf. A230308-A230310, A232820.
%K A232819 sign
%O A232819 1,3
%A A232819 _José María Grau Ribas_, Nov 30 2013