A263109 n is the a(n)-th positive integer having its digitsum in base-12 representation.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 8, 8, 8

Offset: 1

Author

Reinhard Zumkeller, Oct 09 2015

Keywords

• nonn
• base

Comments

Ordinal transform of A053832. - Alois P. Heinz, Dec 23 2018

Links

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

Crossrefs

Cf. A053832, A254524, A263017, A263110.

Programs

Haskell

import Data.IntMap (empty, findWithDefault, insert)
a263109 n = a263109_list !! (n-1)
a263109_list = f 1 empty where
   f x m = y : f (x + 1) (insert q (y + 1) m) where
           y = findWithDefault 1 q m; q = a053832 x

Mathematica

b[_] = 1;
a[n_] := a[n] = With[{t = Total[IntegerDigits[n, 12]]}, b[t]++];
Array[a, 100] (* Jean-François Alcover, Dec 18 2021 *)