A329909 Number of different four-digit proper fractions with anomalous cancellation property in base n.

0, 0, 1, 15, 36, 135, 314, 588, 1173, 1851, 2806, 3433

Offset

2,4

Comments

0 digits or digits that appear different numbers of times in numerator and denominator are not cancelled.

References

R. P. Boas, "Anomalous Cancellation", Ch. 6 in Mathematical Plums (Ed. R. Honsberger). Washington, DC: Math. Assoc. Amer., pp. 113-129, 1979.

Links

Table of n, a(n) for n=2..13.

Eric Weisstein's World of Mathematics, Anomalous Cancellation

Crossrefs

Cf. A094907 (two-digit).

Sequence in context: A229235 A346881 A293156 * A118867 A260796 A296179

Adjacent sequences: A329906 A329907 A329908 * A329910 A329911 A329912

Keyword

nonn,base,more

Author

Xiaohan Zhang, Nov 23 2019

Extensions

Edited by Robert Israel, Dec 30 2025

Status

approved