Voozh

A348183

a(n) is the determinant of the n X n matrix M = (m_{i,j}), i,j from 0 to n-1: m{i,j} = (i+j)^2 mod n.

1, 0, -1, -2, 0, 250, 5616, -33614, 0, 204073344, -900000000, -9431790764, 0, 10752962364222, -1870899108384768, -36328974609375000, 0, 22899384412078526344, -111400529859275793629184, -43843094862278417487512, 0, 2870507605405055660542502550, 67015802375208384199755038720

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

COMMENTS

It seems that for values of n divisible by 4 -> a(n) = 0 and rank(M) = n/2.

LINKS

Table of n, a(n) for n=0..22.

EXAMPLE

a(2) = |0^2 mod 2, 1^2 mod 2| = -1

|1^2 mod 2, 2^2 mod 2|

|0^2 mod 3, 1^2 mod 3, 2^2 mod 3|

a(3) = |1^2 mod 3, 2^2 mod 3, 3^2 mod 3| = -2