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A097481
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Write each natural odd integer >0 on a single label. Put the labels in numerical order to form an infinite sequence L. Consider the succession of single digits of L: 2 4 6 8 1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 4 2 6 2 8 3 0 3 2 3 4 3 6 3 8 ... (A036211). The sequence S gives a rearrangement of the labels that reproduces the same succession of digits, subject to the constraints that a label of L cannot represent itself and the smallest label must be used that does not lead to a contradiction.
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24, 6, 8, 10, 12, 14, 16, 18, 20, 2, 224, 26, 28, 30, 32, 34, 36, 38, 40, 4, 244, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Labels of L can be used only once in S.
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EXAMPLE
| We must begin with 2,4,6,8,... and we cannot represent "2" by the label "2", so the next possibility is the label "24". After "1416" we must get "18 20 22 24..." and we cannot use "182" since no label begins with a 0. So the next term is "1820".
We must begin with 2,4,6,8,... and we cannot represent "2" by the label "2", so the next possibility is the label "24". The next term must be the smallest available label not leading to a contradiction, thus "6". The next one will be "8", etc. After the label "20" the smallest available label is "2". After this "2" we cannot use the label "22" as this "22" would represent itself -- we thus take the smallest available label which is "224". No label is allowed to start with a leading zero. [From Eric Angelini (eric.angelini(AT)skynet.be), Aug 12 2008]
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CROSSREFS
| Sequence in context: A040558 A111803 A091737 * A040559 A068613 A033823
Adjacent sequences: A097478 A097479 A097480 * A097482 A097483 A097484
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KEYWORD
| base,easy,nonn
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AUTHOR
| Eric Angelini (eric.angelini(AT)kntv.be), Sep 19 2004
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EXTENSIONS
| Corrected and extended by Jacques ALARDET and Eric Angelini (eric.angelini(AT)skynet.be), Aug 12 2008
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