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A119589
Natural numbers from 1 to 100 sorted lexicographically.
5
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
OFFSET
1,2
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
KEYWORD
nonn,fini,full,base
AUTHOR
Dmitry Kamenetsky, Jun 01 2006, Jun 03 2006
STATUS
approved