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Search: id:A088885
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| A088885 |
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Minimum number of consecutive previous nonnegative integers to n that must be concatenated together in descending order such that n divides the concatenated term, or zero if n divides no such concatenation. |
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3
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| 1, 2, 2, 2, 5, 2, 0, 6, 8, 10, 0, 6, 0, 8, 5, 4, 2, 8, 3, 0, 0, 10, 0, 12, 0, 0, 26, 16, 0, 20, 0, 20, 11, 2, 20, 8, 0, 0, 0, 20, 40, 20, 4, 32, 35, 46, 38, 20, 40, 0, 2, 0, 0, 26, 10, 20, 3, 0, 0, 20, 55, 0, 0, 52, 0, 32, 0, 44, 17, 20, 0, 36, 26, 0, 50, 52, 21, 38, 67, 20, 0, 0, 9, 20, 0, 4, 59
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Concatenation always begins at n-1 and cannot go further than n-n (zero). Hence the maximum value of a(n) is n.
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EXAMPLE
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a(8) = 6 because will divide the number formed by concatenating the 6 integers prior to 8 in descending order (i.e. 765432). 8 will not divide any lesser number of previous terms concatenated together beginning with 7 (i.e. 8 will not divide 7, 76, 765, 7654, or 76543). a(7) = 0 because 7 will not divide 6, 65, 654, 6543, 65432, 654321, or 6543210.
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CROSSREFS
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Cf. A088798, A088800, A088869, A088871, A088886.
Sequence in context: A131562 A107902 A123914 this_sequence A121358 A112659 A115281
Adjacent sequences: A088882 A088883 A088884 this_sequence A088886 A088887 A088888
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KEYWORD
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base,nonn
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AUTHOR
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Chuck Seggelin (barkeep(AT)plastereddragon.com), Oct 29 2003
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