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Search: id:A165165
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| A165165 |
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Numbers without repeated digits that yield only integers when the sum of the leftmost k digits is divided by k for all k = 1, 2, ... |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 15, 17, 19, 20, 24, 26, 28, 31, 35, 37, 39, 40, 42, 46, 48, 51, 53, 57, 59, 60, 62, 64, 68, 71, 73, 75, 79, 80, 82, 84, 86, 91, 93, 95, 97, 132, 135, 138, 150, 153, 156, 159, 174, 192, 195, 198, 201, 204, 207, 240, 243, 246, 249, 261, 264
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Contains exactly 673 terms.
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 1..673
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EXAMPLE
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603 is included because (1) none of its digits repeat, (2) the leftmost first digit is 6 which, divided by 1, yields an integer, (3) the sum of the leftmost 2 digits, i.e., 6+0=6, divided by 2 yields an integer, and (3) the sum of the leftmost 3 digits, i.e., 6+0+3=9, divided by 3 yields an integer.
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CROSSREFS
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Sequence in context: A045540 A119509 A055568 this_sequence A075776 A033088 A032577
Adjacent sequences: A165162 A165163 A165164 this_sequence A165166 A165167 A165168
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KEYWORD
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base,nonn,fini
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AUTHOR
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Harvey P. Dale (hpd1(AT)nyu.edu), Sep 06 2009
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