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Search: id:A140501
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| A140501 |
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Ten-digit numbers with all distinct digits such that the string formed by the last k digits is divisible by k for any k <= 10. |
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+0
5
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| 9123567480, 9123675840, 9123756480, 9126573840, 9132576840, 9132657480, 9132765840, 9135648720, 9135726840, 9138546720, 9138675240, 9147528360, 9153276840, 9153672480, 9153768240, 9156237840, 9156348720, 9162573480
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Tanya Khovanova (tanyakh(AT)yahoo.com), Jun 29 2008, Table of n, a(n) for n = 1..202
Tanya Khovanova, A Very Special Ten-Digit Number
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EXAMPLE
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9123567480 is in this sequence, because 80/2 = 40, 480/3 = 160, 7480/4 = 1870, 67480/5 = 13496, 567480/6 = 94580, 3567480/7 = 509640, 23567480/8 = 2945935, 123567480/9 = 13729720, 9123567480/10 = 912356748.
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MATHEMATICA
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Map[FromDigits, Select[Permutations[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], #[[1]] == 9 && Mod[FromDigits[{#[[8]], #[[9]], #[[10]]}], 120] == 0 && Mod[ #[[5]] + #[[6]] + #[[7]], 3] == 0 && Mod[FromDigits[Take[ #, -7]], 7] == 0 &]]
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CROSSREFS
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Sequence in context: A144651 A015398 A034614 this_sequence A134448 A048053 A130429
Adjacent sequences: A140498 A140499 A140500 this_sequence A140502 A140503 A140504
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KEYWORD
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fini,nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Jun 29 2008
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