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A106001 Underline the last digit of every integer; the underlined digits are the sequence's digits themselves. +0
1
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 21, 12, 31, 41, 22, 13, 51, 14, 61, 32, 42, 71, 15, 81, 91, 24, 16, 101, 23, 52, 34, 62, 17, 111, 121, 25, 18, 131, 19, 141, 72, 44, 151, 26, 161, 10, 171, 82, 33, 35, 92, 43, 54, 36, 102, 181, 27, 191, 201, 211, 221, 112, 231, 122, 45, 241, 28 (list; graph; listen)
OFFSET

0,2

COMMENT

This is a permutation of the natural numbers as, in building the sequence, we always chose the smallest integer not yet present in it.

EXAMPLE

Last digits are: (1),(2),(3),(4),(5),(6),(7),(8),(9),1(1),2(1),1(2),3(1),4(1),2(2),1(3),5(1),1(4),6(1),3(2),4(2),... which form (1),(2),(3),(4),(5),(6),(7),(8),(9),(1),(1),(2),(1),(1),(2),(3),(1),(4),(1),(2),(2)... then 1,2,3,4,5,6,7,8,9,1,1,2,1,1,2,3,1,4,1,2,2,... which can be seen as 1,2,3,4,5,6,7,8,9,11,21,12,31,41,22,... thus the starting sequence.

CROSSREFS

Sequence in context: A033074 A067451 A038724 this_sequence A161390 A096106 A076641

Adjacent sequences: A105998 A105999 A106000 this_sequence A106002 A106003 A106004

KEYWORD

base,easy,nonn

AUTHOR

Eric Angelini (eric.angelini(AT)kntv.be), Apr 25 2005, revised Dec 06 2007

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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