The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
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
0, 2, 6, 12, 7, 4, 3 (list; graph; refs; listen; history; text; internal format)
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 i-th pronic, -= is the congruence sign, r(i) is the i-th residue and mod (z) is the modulus used.
EXAMPLE
r(5) = 7 mod (13).
CROSSREFS
Sequence in context: A074259 A338376 A113540 * A341664 A105692 A107647
KEYWORD
easy,nonn
AUTHOR
Stuart M. Ellerstein (ellerstein(AT)aol.com), Nov 17 2005
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 May 26 14:36 EDT 2024. Contains 372826 sequences. (Running on oeis4.)