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.
1, 0, -144, -2568, -28200, 0, 15203328, 675195936, 16696909080, 0, -25789252433472, -1612260342054360, -54804262577596532, 0, 161017938434267136000, 13718166932451951573120, 621130358284578576358416, 0, -3008072527724272784969384000, -320196271193421334219630013080
Offset: 1
Keywords
Links
- Colin Barker, Table of n, a(n) for n = 1..200
Programs
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Mathematica
g[n_] := Sum[(a + b I)^n, {a, 1, n}, {b, 1, n}]; Table[Re[g[n]], {n, 33}] -
PARI
vector(100, n, real(sum(x=1, n, sum(y=1, n, (x+I*y)^n)))) \\ Colin Barker, Nov 09 2014
Formula
a(A016825(n)) = 0, for n>=0. - Michel Marcus, Nov 09 2014