login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
-4, 2560000, -19188605030400000000, 26257841860510325145600000000000000000000, -50074374492086859469933185828103742596055040000000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
sign
AUTHOR
Alonso del Arte, Jan 09 2012
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 19 01:34 EDT 2024. Contains 370952 sequences. (Running on oeis4.)