A119589 - OEIS

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A119589

Natural numbers from 1 to 100 sorted lexicographically.

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

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..100.

FORMULA

a(n) = if n < 4 then 10^(n-1) else if r < 10 then 10*q + r else q + 1, where [q,r] are the base-11 digits of n+8. - M. F. Hasler, Oct 26 2019

EXAMPLE

a(1) = 1.

a(2) = 10 because "10" > "1".

a(3) = 100 because "100" > "10", but "100" < "11".

PROG

(PARI) A119589=vecsort(vector(100, n, Str(n)), , 1) \\ M. F. Hasler, Sep 03 2018, edited Oct 25 2019

(PARI) a(n)=if(n<4, 10^n\10, n=divrem(n+8, 11); n[2]<10, [10, 1]*n, n[1]+1) \\ M. F. Hasler, Oct 26 2019

CROSSREFS

Cf. A119590 (inverse permutation: position of n in this sequence).

Cf. A190016, A190017 (integers 1..10^4 in lexicographical order, and inverse).

Sequence in context: A284200 A355893 A228410 * A316915 A352575 A266798

Adjacent sequences: A119586 A119587 A119588 * A119590 A119591 A119592

KEYWORD

nonn,fini,full,base

AUTHOR

Dmitry Kamenetsky, Jun 01 2006, Jun 03 2006

STATUS

approved