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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. 8
 64, 95, 96, 97, 291, 98, 294, 490, 1221, 1342, 65, 665, 1463, 2261, 1584, 97, 194, 98, 196, 392, 490, 830, 195, 98, 196, 294, 490, 197, 591, 199, 597, 995, 1393, 1791, 2321, 1443, 2442, 3441, 1160, 1165, 2563, 3961, 1586 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. The numerator may have 2 or 3 digits. For the denominators see A290463. The full list of 171 terms is given in the a-file. REFERENCES Doron Zeilberger, Email to N. J. A. Sloane, Aug 07 2017. LINKS Doron Zeilberger, Table of n, a(n) for n = 1..171 Doron Zeilberger, The complete list of pairs [abc, def] EXAMPLE 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. CROSSREFS Cf. A290463. For other fractions with anomalous cancellation see A291093/A291094, A159975/A159976. Sequence in context: A303530 A119894 A138667 * A240527 A262743 A176819 Adjacent sequences:  A290459 A290460 A290461 * A290463 A290464 A290465 KEYWORD nonn,base,fini,full,frac AUTHOR N. J. A. Sloane, Aug 07 2017 STATUS approved

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Last modified December 3 15:50 EST 2021. Contains 349465 sequences. (Running on oeis4.)