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A136410 Numbers n having a proper divisor d > 2 such that d-1 divides n-1. +0
1
9, 15, 16, 21, 25, 27, 28, 33, 36, 39, 40, 45, 49, 51, 52, 57, 63, 64, 65, 66, 69, 75, 76, 81, 85, 87, 88, 91, 93, 96, 99, 100, 105, 111, 112, 117, 120, 121, 123, 124, 125, 126, 129, 133, 135, 136, 141, 144, 145, 147, 148 (list; graph; listen)
OFFSET

1,1

EXAMPLE

E.g. consider n=91: we can take d=7, 7 divides 91 and 6 divides 90, so 91 is in the sequence.

MATHEMATICA

fQ[n_] := Block[{d = Select[ Take[ Divisors@ n, {2, -2}], # > 2 &]}, Union[IntegerQ /@ ((n - 1)/(d - 1))][[ -1]]]; Select[ Range@ 175, !PrimeQ@ # && fQ@ # &] (* Robert G. Wilson v, (rgwv@rgwv.com), May 04 2008 *)

CROSSREFS

Sequence in context: A073920 A130119 A058957 this_sequence A066942 A061838 A037002

Adjacent sequences: A136407 A136408 A136409 this_sequence A136411 A136412 A136413

KEYWORD

nonn

AUTHOR

J. Perry (johnandruth(AT)jrperry.orangehome.co.uk), Apr 13 2008

EXTENSIONS

Definition, terms and offset corrected by M. F. Hasler (www.univ-ag.fr/~mhasler), May 01 2008

Edited by njas, May 10 2008

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Last modified July 23 10:48 EDT 2008. Contains 142285 sequences.


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