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Search: id:A111456
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| A111456 |
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Pandigitals in some base (A061845) with an extra property: each number formed by the first i digits is divisible by i (digits in the pandigital base). |
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| 2, 108, 228, 13710, 44790, 6996920, 11128712, 12306056, 3816547290, 7838911147538198
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Finite? There are no more terms up to base 40. A probabilistic argument says higher bases are increasingly unlikely to produce a value.
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EXAMPLE
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E.g. 13710=143250 (base 6) is pandigital and 14(6)=10(10) is even, 143(6)=63(10) is divisible by 3, 1432(6)=380(10) is divisible by 4, etc. 3816547290 is well known in base 10.
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CROSSREFS
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Cf. A061845.
Sequence in context: A125593 A139887 A156502 this_sequence A157067 A023281 A042457
Adjacent sequences: A111453 A111454 A111455 this_sequence A111457 A111458 A111459
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KEYWORD
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base,fini,nonn
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AUTHOR
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Martin Fuller (martin.n.fuller(AT)aeat.co.uk), Nov 15 2005
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