A290463 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 denominators def.

160, 190, 192, 194, 194, 196, 196, 196, 222, 244, 260, 266, 266, 266, 288, 291, 291, 294, 294, 294, 294, 332, 390, 392, 392, 392, 392, 394, 394, 398, 398, 398, 398, 398, 422, 444, 444, 444, 464, 466, 466, 466, 488, 488

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 numerators see A290462.

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. A290462.

For other fractions with anomalous cancellation see A159975/A159976.

Sequence in context: A013466 A060675 A171225 * A367206 A127338 A138854

Adjacent sequences: A290460 A290461 A290462 * A290464 A290465 A290466

Keyword

nonn,base,fini,full,frac

Author

N. J. A. Sloane, Aug 07 2017

Status

approved