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 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 Table of n, a(n) for n=0..6. 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 Adjacent sequences: A111655 A111656 A111657 * A111659 A111660 A111661 KEYWORD easy,nonn AUTHOR Stuart M. Ellerstein (ellerstein(AT)aol.com), Nov 17 2005 STATUS approved

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Last modified May 26 14:36 EDT 2024. Contains 372826 sequences. (Running on oeis4.)