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%I #17 Jul 05 2022 12:24:17
%S 8,15,20,24,27,32,35,39,44,48,51,56,65,68,75,80,84,87,90,92,95,99,104,
%T 111,116,119,120,125,128,132,135,140,143,144,147,152,155,159,164,168,
%U 171,175,176,185,188,189,195,200,204,207,212,216,219,224,231,236,245
%N Numbers n such that there exists a proper divisor 1 < m < n where m divides n and m+1 divides n+1, but there is no divisor d such that d divides n, d+1 divides n+1 and d+2 divides n+2.
%H Amiram Eldar, <a href="/A082867/b082867.txt">Table of n, a(n) for n = 1..10000</a>
%e 8 is a member because 2 divides 8, 3 divides 9 (and 4 does not divide 10).
%o (PARI) is(n)=my(t); fordiv(n,m, if(m==1, next); if((n+1)%(m+1)==0, if(m==n, return(t)); t=1; if((n+2)%(m+2)==0, return(0)))) \\ _Charles R Greathouse IV_, Jul 05 2022
%Y Cf. A082772.
%K easy,nonn
%O 1,1
%A Anne M. Donovan (anned3005(AT)aol.com), May 24 2003
%E Corrected by _T. D. Noe_, Oct 25 2006
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