A130572 -id:A130572 - cp's OEIS frontend

A130575 Fixed points of the permutations A130571, A130572, A130573 and A130574.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 21, 22, 31, 32, 33, 41, 42, 43, 44, 51, 52, 53, 54, 55, 61, 62, 63, 64, 65, 66, 71, 72, 73, 74, 75, 76, 77, 81, 82, 83, 84, 85, 86, 87, 88, 101, 211, 212, 310, 311, 312, 313, 410, 411, 412, 413, 414, 510, 511, 512, 513, 514, 515, 610

Offset: 0

Reinhard Zumkeller, Jun 05 2007

nonn

A130571(a(n))=a(n), A130572(a(n))=a(n), A130573(a(n))=a(n) and A130574(a(n))=a(n).

A130574 A130572(A130572(n)).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19, 20, 12, 13, 21, 22, 25, 26, 27, 28, 29, 30, 23, 24, 31, 32, 33, 36, 37, 38, 39, 40, 34, 35, 41, 42, 43, 44, 47, 48, 49, 50, 45, 46, 51, 52, 53, 54, 55, 58, 59, 60, 56, 57, 61, 62, 63, 64, 65, 66, 69, 70, 67, 68, 71, 72

Offset: 0

Reinhard Zumkeller, Jun 05 2007

nonn

Permutation of the natural numbers with inverse A130573;

a(A130575(n)) = A130575(n).

Index entries for sequences that are permutations of the natural numbers

A130571 Lexicographically earliest permutation of the natural numbers such that in decimal representation the final digit of each term is distinct from the initial digit of the succeeding term.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 30, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 40, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 50, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 60, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 70, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 80, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 90, 89, 100, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 200, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 201, 202, 112, 113, 114

Offset: 0

Reinhard Zumkeller, Jun 05 2007

More than the usual number of terms are displayed, in order to show the difference between this and some closely related sequences. - N. J. A. Sloane, Mar 13 2014
A010879(a(n)) <> A000030(a(n+1));
A130572 is the inverse permutation; A130573(n) = a(a(n));
a(A130575(n)) = A130575(n);
see A130576 and A130577 for record values and where they occur.

For a closely related family of sequences see A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

cp's OEIS Frontend

A130575 Fixed points of the permutations A130571, A130572, A130573 and A130574.

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A130574 A130572(A130572(n)).

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A130571 Lexicographically earliest permutation of the natural numbers such that in decimal representation the final digit of each term is distinct from the initial digit of the succeeding term.

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