%I #30 Aug 22 2017 00:45:07
%S 64,95,96,97,291,98,294,490,1221,1342,65,665,1463,2261,1584,97,194,98,
%T 196,392,490,830,195,98,196,294,490,197,591,199,597,995,1393,1791,
%U 2321,1443,2442,3441,1160,1165,2563,3961,1586
%N 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 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 The numerator may have 2 or 3 digits.
%C For the denominators see A290463.
%C The full list of 171 terms is given in the a-file.
%D Doron Zeilberger, Email to N. J. A. Sloane, Aug 07 2017.
%H Doron Zeilberger, <a href="/A290462/b290462.txt">Table of n, a(n) for n = 1..171</a>
%H Doron Zeilberger, <a href="/A290462/a290462.txt">The complete list of pairs [abc, def]</a>
%e 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 Cf. A290463.
%Y For other fractions with anomalous cancellation see A291093/A291094, A159975/A159976.
%K nonn,base,fini,full,frac
%O 1,1
%A _N. J. A. Sloane_, Aug 07 2017