

A204041


Square Gaussian integer factorial, product of all Gaussian integers except 0 having a real or imaginary part less than or equal to n.


3




OFFSET

1,1


COMMENTS

This is called "square" because the Gaussian integers involved here form a square on the complex plane.
All terms are purely real integers, but a(6) has more than a hundred digits.


LINKS

Table of n, a(n) for n=1..5.


EXAMPLE

a(1) = 1 * (1 + i) * i * (1 + i) * 1 * (1  i) * i * (1  i) = 4.


MATHEMATICA

Table[Times@@ReplaceAll[Flatten[Table[a + b I, {a, n, n}, {b, n, n}]], 0 > 1], {n, 10}]


CROSSREFS

Cf. A204044, lozenge factorial; A204043, circle factorial.
Sequence in context: A046362 A144122 A058424 * A065248 A116141 A225876
Adjacent sequences: A204038 A204039 A204040 * A204042 A204043 A204044


KEYWORD

sign


AUTHOR

Alonso del Arte, Jan 09 2012


STATUS

approved



