A065649 Permutation of nonnegative integers based on Champernowne's constant 0.123456789101112131415...

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 21, 31, 41, 12, 51, 13, 61, 14, 71, 15, 81, 16, 91, 17, 101, 18, 111, 19, 22, 20, 32, 121, 42, 52, 62, 23, 72, 24, 82, 25, 92, 26, 102, 27, 112, 28, 122, 29, 33, 30, 43, 131, 53, 132, 63, 73, 83, 34, 93, 35, 103, 36, 113, 37, 123, 38

Offset: 0

Author

Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Nov 09 2001

Keywords

• base
• nice
• nonn
• look

Comments

A261293(n) = a(a(n)). - Reinhard Zumkeller, Aug 14 2015

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
• Klaus Strassburger, Illustration
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

A033307, A065648, A065650.

Cf. A261279 (fixed points), A261293, A261333.

Programs

Haskell

a065649 n = a065649_list !! n
a065649_list = zipWith (+)
               (map ((* 10) . subtract 1) a065648_list) (0 : a033307_list)
-- Reinhard Zumkeller, Aug 13 2015

Formula

a(n) = if n = 0 then 0 else 10*(A065648(n)-1) + A033307(n-1).

Extensions

Offset and defining formula adjusted by Reinhard Zumkeller, Aug 13 2015