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Search: id:A049101
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| A049101 |
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Numbers n such that n divides (product of digits of n) * (sum of digits of n). |
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+0 7
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 15, 18, 24, 45, 48, 135, 144, 288, 378, 476, 756, 864, 1575, 39366, 69984, 139968
(list; graph; listen)
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OFFSET
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1,2
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CROSSREFS
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Cf. A038369, A049102, A049105, A049106.
Adjacent sequences: A049098 A049099 A049100 this_sequence A049102 A049103 A049104
Sequence in context: A032992 A069118 A032978 this_sequence A048406 A081433 A032581
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KEYWORD
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nonn,base,fini
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
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Next term if it exists is greater than 4 * 10^7 - Michel ten Voorde (seqfan(AT)tenvoorde.org)
Sequence is finite and bounded above by 10^84, since if 10^k<=n<10^(k+1) (product of digits of n)*(sum of digits of n)<=k*9^(k+2) which is less than 10^k for k >= 84 - Henry Bottomley (se16(AT)btinternet.com), May 18 2000
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