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

0,3

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

Formula

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

Prog

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

Crossrefs

A033307, A065648, A065650.

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

Sequence in context: A296423 A065650 A358386 * A338830 A262037 A262039

Adjacent sequences: A065646 A065647 A065648 * A065650 A065651 A065652

Keyword

base,nice,nonn,look

Author

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

Extensions

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

Status

approved