cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A073638 Number of anti-divisors of n (A066272) sets a record.

Original entry on oeis.org

1, 3, 5, 7, 13, 17, 32, 38, 67, 137, 203, 247, 472, 578, 682, 787, 1463, 2047, 2363, 3465, 5197, 5198, 8662, 13513, 15593, 22522, 22523, 29452, 60638, 67567, 67568, 98753, 112612, 157658, 202702, 337837, 337838, 427927, 713212, 788287, 788288, 1013512
Offset: 1

Views

Author

Jason Earls, Sep 01 2002

Keywords

Comments

antid(n) > antid(k) for all k < n.
Note that several of these come in pairs, i.e., 5197 & 5198, 22522 & 22523, 67567 & 67568, 337837 & 337838, 788287 & 788288, 1013512 & 1013513 and 1914412 & 1914413 to name a few. See A093071 for more. - Robert G. Wilson v, Mar 17 2004
See A066272 for definition of anti-divisor.

Programs

  • Mathematica
    antid[n_] := Select[ Union[ Join[ Select[ Divisors[2n - 1], OddQ[ # ] && # != 1 &], Select[ Divisors[2n + 1], OddQ[ # ] && # != 1 & ], 2n/Select[ Divisors[ 2n], OddQ[ # ] && # != 1 &]]], # < n &]; a = 0; Do[b = Length[ antid[ n]]; If[b > a, Print[n]; a = b], {n, 1, 1013513}] (* Robert G. Wilson v, Mar 17 2004 *)

Extensions

More terms from Robert G. Wilson v, Mar 17 2004
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