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A290462 Consider decimal fractions r = abc/def with b != 0, d != 0 such that r = ac/df, sorted first by def and then by abc; sequence gives the numerators abc.

%I A290462 #30 Aug 22 2017 00:45:07
%S A290462 64,95,96,97,291,98,294,490,1221,1342,65,665,1463,2261,1584,97,194,98,
%T A290462 196,392,490,830,195,98,196,294,490,197,591,199,597,995,1393,1791,
%U A290462 2321,1443,2442,3441,1160,1165,2563,3961,1586
%N A290462 Consider decimal fractions r = abc/def with b != 0, d != 0 such that r = ac/df, sorted first by def and then by abc; sequence gives the numerators abc.
%C A290462 These are "fractions with anomalous cancellation" of a particular type. Here the fractions are of the form abc/def, where the denominator has exactly three digits, such that if the tens digits (b and e) are canceled from the numerator and denominator the value is unchanged.
%C A290462 The numerator may have 2 or 3 digits.
%C A290462 For the denominators see A290463.
%C A290462 The full list of 171 terms is given in the a-file.
%D A290462 Doron Zeilberger, Email to N. J. A. Sloane, Aug 07 2017.
%H A290462 Doron Zeilberger, <a href="/A290462/b290462.txt">Table of n, a(n) for n = 1..171</a>
%H A290462 Doron Zeilberger, <a href="/A290462/a290462.txt">The complete list of pairs [abc, def]</a>
%e A290462 The first four fractions on the list are 64/160 = 4/10 (after cancelling the 6's!), 95/190 = 5/10, 96/192 = 6/12, 97/194 = 7/14.
%Y A290462 Cf. A290463.
%Y A290462 For other fractions with anomalous cancellation see A291093/A291094, A159975/A159976.
%K A290462 nonn,base,fini,full,frac
%O A290462 1,1
%A A290462 _N. J. A. Sloane_, Aug 07 2017