A261279 -id:A261279 - 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

A065650 Inverse permutation to A065649.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 15, 17, 19, 21, 23, 25, 27, 29, 31, 12, 30, 37, 39, 41, 43, 45, 47, 49, 51, 13, 32, 50, 59, 61, 63, 65, 67, 69, 71, 14, 34, 52, 70, 81, 83, 85, 87, 89, 91, 16, 35, 54, 72, 90, 103, 105, 107, 109, 111, 18, 36, 56, 74, 92, 110, 125, 127

Offset: 0

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

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

Cf. A033307, A065648, A065649, A261334.

Cf. A261279 (fixed points), A261294.

import Data.List (elemIndex); import Data.Maybe (fromJust)
a065650 = fromJust . (`elemIndex` a065649_list)
-- Reinhard Zumkeller, Aug 13 2015

Offset changed by Reinhard Zumkeller, Aug 13 2015

A261293 a(n) = A065649(A065649(n)).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 20, 25, 21, 30, 31, 35, 41, 40, 12, 45, 51, 50, 13, 115, 61, 60, 14, 81, 71, 32, 165, 92, 43, 103, 16, 54, 91, 114, 17, 65, 101, 125, 18, 76, 111, 126, 19, 121, 22, 26, 70, 131, 87, 36, 141, 46, 42, 151, 52, 56, 62

Offset: 0

Reinhard Zumkeller, Aug 14 2015

nonn

Permutation of the nonnegatve integers with inverse A261294;

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

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

Cf. A065649, A065650, A261294 (inverse), A261279 (fixed points).

Haskell
```
a261293 = a065649 . a065649
```

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
```

A261335 Fixed points of permutations A261333, A261334.

Original entry on oeis.org

53, 334, 522, 1194, 2869, 3036, 20825, 29757, 38649, 42376, 206634, 779484, 2501844, 3179745, 6144896, 7489482, 71814716, 74518733, 114518733, 427670705, 821804556, 826199354, 851684546, 1276199354, 4825184535, 9444444445, 9592618243, 14592618243, 592213913815

Offset: 1

Reinhard Zumkeller, Aug 15 2015

nonn

Hiroaki Yamanouchi, Table of n, a(n) for n = 1..1619

Cf. A261333, A261334, A261279.

a261335 n = a261335_list !! (n-1)
a261335_list = [x | x <- [0..], a261333 x == x]

a(13)-a(29) from Hiroaki Yamanouchi, Aug 21 2015

cp's OEIS Frontend

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

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A065650 Inverse permutation to A065649.

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A261293 a(n) = A065649(A065649(n)).

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

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A261335 Fixed points of permutations A261333, A261334.

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