puzzling sequence

Brendan McKay bdm at cs.anu.edu.au
Fri Dec 5 12:53:18 CET 2003


* N. J. A. Sloane <njas at research.att.com> [031205 22:36]:
> 
> Dear Seqfans,  There are several sequences which appear identical
> to A000028, and I am trying to clear them up. 
> Can anyone understand the following sequence?
> 
> %I A066724
> %S A066724 1,2,3,4,5,7,9,11,13,16,17,19,23,25,29,30,31,37,41,43,47,49,53,59,61,
> %T A066724 67,71,73,79,81,83,84,89,97,101,103,107,109,113,121,127,128,131,137,
> %U A066724 139,149,151,154,157,163,167,169,173,179,180,181,191,193,197,199,211
> %N A066724 a(1) = 1; for n > 1, a(n) is the least integer > a(n-1) such that the products a(i)*a(j), for 1 <= i < j <= n, are all distinct.
> %C A066724 The first 15 terms are the same as A026477; the first 13 terms are the same as A026416.
> %Y A066724 Cf. A026477, A026416.
> %Y A066724 Adjacent sequences: A066721 A066722 A066723 this_sequence A066725 A066726 A066727
> %Y A066724 Sequence in context: A026416 A026418 A000028 this_sequence A009087 A026477 A050376
> %K A066724 easy,nonn
> %O A066724 1,2
> %A A066724 Robert E. Sawyer (rs.1(AT)mindspring.com), Jan 18 2002
> 
> My question is, why is 24 missing?

Because 2*24 = 3*16 ?
 
B.





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