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A126933
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Take the decimal number formed by the first n digits of A023396 in reverse order and divide by 2^n.
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2
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1, 3, 14, 132, 691, 1908, 16579, 47352, 414301, 1183713, 5474669, 27151397, 135646011, 678174568, 6442602909, 18480090517, 85533990571
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OFFSET
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1,2
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COMMENTS
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The sequence A023396 gives n-digit numbers consisting entirely of 1s and 2s which are divisible by 2^n. The quotients upon division form the present sequence. The parity of the n-th term here determines the next term in A023396; if even, it is a 1 and if odd, a 2.
This was set as a problem in the All Union Mathematical Olympiad of 1971 and can be found in the reference cited here.
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REFERENCES
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J. B. Tabov and P. J. Taylor, Methods of Problem Solving, Book 1, Australian Mathematics Trust, 1996.
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LINKS
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Table of n, a(n) for n=1..17.
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CROSSREFS
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Sequence in context: A186772 A061029 A096657 * A073550 A002966 A075654
Adjacent sequences: A126930 A126931 A126932 * A126934 A126935 A126936
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KEYWORD
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nonn,base
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AUTHOR
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Gerry Leversha (g.leversha(AT)btinternet.com), Mar 18 2007
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STATUS
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approved
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