A261293 -id:A261293 - cp's OEIS frontend

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

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

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

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

A033307, A065648, A065650.

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

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

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

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

A261279 Fixed points of A065649, a permutation of nonnegative integers based on Champernowne's constant.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 32, 204, 354, 40964, 50322, 65964, 263125, 319166, 513764, 626082, 701753, 813764, 6179084, 6377296, 9679084, 72205374, 73333335, 74470716, 74522672, 87181372, 97270723, 112205374, 114522672, 517336266, 851684556, 1224783704

Offset: 1

Reinhard Zumkeller, Aug 14 2015

nonn

Also fixed points of A065650, A261293 and A261294.

Hiroaki Yamanouchi, Table of n, a(n) for n = 1..2063

Cf. A065649, A065650, A261293, A261294, A261335.

a261279 n = a261279_list !! (n-1)
a261279_list = [x | x <- [0..], a065649 x == x]

a(23)-a(36) from Hiroaki Yamanouchi, Aug 21 2015

A261294 a(n) = A065650(A065650(n)).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 21, 25, 29, 12, 37, 41, 45, 49, 13, 15, 51, 65, 69, 14, 52, 81, 85, 89, 16, 17, 32, 91, 109, 18, 56, 92, 125, 129, 20, 19, 59, 35, 131, 22, 58, 96, 132, 169, 24, 23, 61, 72, 38, 171, 62, 100, 136, 172, 28, 27, 63, 103

Offset: 0

Reinhard Zumkeller, Aug 14 2015

Permutation of the nonnegatve integers with inverse A261293;

a(A065649(n)) = A065649(a(n)) = A065650(n).

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

Cf. A065650, A065649, A261293 (inverse), A261279 (fixed points).

Haskell
```
a261294 = a065650 . a065650
```

cp's OEIS Frontend

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

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A261279 Fixed points of A065649, a permutation of nonnegative integers based on Champernowne's constant.

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A261294 a(n) = A065650(A065650(n)).

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Haskell