A263110 n is the a(n)-th positive integer having its digitsum in base-16 representation.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 6, 6, 6, 6, 6, 6, 6

Offset: 1

Author

Reinhard Zumkeller, Oct 09 2015

Keywords

• nonn
• base

Comments

Ordinal transform of A053836. - Alois P. Heinz, Dec 23 2018

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Hexadecimal
• Eric Weisstein's World of Mathematics, Digit Sum
• Wikipedia, Hexadecimal
• Wikipedia, Digit sum

Crossrefs

Cf. A053836, A254524, A263017, A263109.

Programs

Haskell

import Data.IntMap (empty, findWithDefault, insert)
a263110 n = a263110_list !! (n-1)
a263110_list = f 1 empty where
   f x m = y : f (x + 1) (insert q (y + 1) m) where
           y = findWithDefault 1 q m; q = a053836 x