A065399 a(n) is the greatest integer m such that (1) written in base n it is also readable as if it is in factorial base and (2) this factorial base value is smaller than or equal to m.

3, 79, 8185, 1953086, 725593801, 678223069581, 562949953378513, 1350851717672319484, 4999999999999987654321, 9849732675807610835337595, 137370551967459378656446409161, 403076252869222301596846120485751

Offset

2,1

Comments

Such a number will always have the maximum allowable digit in all places that are larger in base n than in factorial base. The remaining digits can be checked sequentially, since the difference between place values in factorial base and base n increase by more than a factor of n at that point. - Charlie Neder, Jun 12 2019

Links

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

Dr. Math, Factorial base and base 10

Example

We have 2221 in base 3 is equal to 79 and in factorial base is equal to 65. There is no greater number in base 3 whose factorial base interpretation is less than the number itself. So a(3)=79.

Crossrefs

Cf. A065400.

Sequence in context: A367249 A062660 A331673 * A265592 A105065 A011187

Adjacent sequences: A065396 A065397 A065398 * A065400 A065401 A065402

Keyword

nonn

Author

Floor van Lamoen, Nov 05 2001

Extensions

a(6)-a(8) corrected and a(9)-a(13) from Charlie Neder, Jun 12 2019

Status

approved