A235708 Largest base in which n is pandigital.

1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 4, 2, 2, 4, 2, 2

Offset

1,2

Comments

The first occurrence of k in this sequence is given by A049363(k).

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Pandigital Number

Wikipedia, Pandigital number

Prog

(Haskell)
import Data.List (unfoldr, nub); import Data.Tuple (swap)
a235708 n = f n where
   f 1 = 1
   f b = if isPandigital b n then b else f (b - 1) where
         isPandigital b = (== b) . length . nub . unfoldr
           (\x -> if x == 0 then Nothing else Just $ swap $ divMod x b)
-- Reinhard Zumkeller, May 12 2014

Crossrefs

Cf. A049363.

Sequence in context: A066086 A323406 A160520 * A353929 A297770 A330617

Adjacent sequences: A235705 A235706 A235707 * A235709 A235710 A235711

Keyword

nonn,base,nice

Author

Joonas Pohjonen, May 02 2014

Status

approved