A065400 a(n) is the greatest integer m such that (1) written in factorial base it is also readable as if it is in base n and (2) this base-n value is greater than or equal to m.

3, 65, 7655, 1636439, 698775119, 563569609679, 511958175765119, 1027403887481435519, 4978873338102822009599, 6474780714695678448940799, 124391515596257341851985843199, 375148363707603965517052042828799

Offset

2,1

Links

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

Dr. Math, Factorial base and base 10

Formula

a(n) = A065399(n) with its base-n expansion interpreted in factorial base. - Charlie Neder, Jun 12 2019

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 factorial base whose base-3 interpretation is greater than the number itself. So a(3)=65.

Crossrefs

Cf. A065399

Sequence in context: A012837 A036778 A295169 * A306410 A091470 A374226

Adjacent sequences: A065397 A065398 A065399 * A065401 A065402 A065403

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