A162501 - OEIS

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A162501

Lexicographically earliest permutation of the natural numbers such that in decimal representation the initial digit for each term is equal to the last nonzero digit of its predecessor; a(1)=1.

9

1, 10, 11, 12, 2, 20, 21, 13, 3, 30, 31, 14, 4, 40, 41, 15, 5, 50, 51, 16, 6, 60, 61, 17, 7, 70, 71, 18, 8, 80, 81, 19, 9, 90, 91, 100, 101, 102, 22, 23, 32, 24, 42, 25, 52, 26, 62, 27, 72, 28, 82, 29, 92, 200, 201, 103, 33, 34, 43, 35, 53, 36, 63, 37, 73, 38, 83, 39, 93, 300, 301

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OFFSET

1,2

COMMENTS

A000030(a(n+1)) = A065881(a(n));

inverse of A162502: a(A162502(n)) = A162502(a(n)) = n;

a(a(n)) = A162503(n).

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..1000

Index entries for sequences that are permutations of the natural numbers

CROSSREFS

A076654, A130571.

Sequence in context: A330024 A374530 A184992 * A286890 A262323 A262412

Adjacent sequences: A162498 A162499 A162500 * A162502 A162503 A162504

KEYWORD

base,nonn

AUTHOR

Reinhard Zumkeller, Jul 05 2009

STATUS

approved