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A232820
Imaginary part of the sum over the n-th powers of all Gaussian integers in the n X n base square in the first quadrant.
2
1, 18, 144, 0, -28200, -814968, -15203328, 0, 16696909080, 893794451000, 25789252433472, 0, -54804262577596532, -4044941639317807200, -161017938434267136000, 0, 621130358284578576358416, 59512584052525004199214632, 3008072527724272784969384000, 0
OFFSET
1,2
LINKS
FORMULA
Conjecture: a(4n) = 0. - Michel Marcus, Nov 09 2014
MATHEMATICA
g[n_] := Sum[(a + b I)^n, {a, 1, n}, {b, 1, n}]; Table[Im[g[n]], {n, 33}]
PROG
(PARI) vector(100, n, imag(sum(x=1, n, sum(y=1, n, (x+I*y)^n)))) \\ Colin Barker, Nov 09 2014
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved