The On-Line Encyclopedia of Integer Sequences (OEIS)

A372651 revision #27

A372651

a(n) is the product of the distinct nonzero quadratic residues of n.

1, 1, 1, 1, 4, 12, 8, 4, 28, 1080, 540, 36, 12960, 44352, 2160, 36, 1797120, 524160, 22619520, 2880, 1088640, 4790016000, 465813504, 6912, 5096577024, 8115883776000, 5477472000, 2419200, 267346759680000, 124104960000, 216218419200000, 244800, 143187264000

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OFFSET

1,5

LINKS

Table of n, a(n) for n=1..33.

FORMULA

a(n) mod n = A232195(n).

a(n) = Product_{k=1..n} A046071(n,k).

a(n) = Product_{k=1..floor(n/2)} (k^2 mod n) if (k^2 mod n) > 0.

PROG

(Python)

from sympy import prod