

A111658


Pronic residues. These are analogous to quadratic residues, but use the set of pronics 0 2 6 12 20 30... instead of the quadratics (squares) 0 1 4 9 16 25... The example shown above is mod 13.


0




OFFSET

0,2


COMMENTS

It is noted that when the modulus is not prime that a 0 may appear in the interior of the sequence. example for mod (15). 0 2 6 12 5 0 12 11.


LINKS



FORMULA

Prn(i) = r(i) mod (z) where Prn(i) is the ith pronic, = is the congruence sign, r(i) is the ith residue and mod (z) is the modulus used.


EXAMPLE

r(5) = 7 mod (13).


CROSSREFS



KEYWORD

easy,nonn


AUTHOR

Stuart M. Ellerstein (ellerstein(AT)aol.com), Nov 17 2005


STATUS

approved



