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A111456 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). 1
2, 108, 228, 13710, 44790, 6996920, 11128712, 12306056, 3816547290, 7838911147538198 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Finite? There are no more terms up to base 40. A probabilistic argument says higher bases are increasingly unlikely to produce a value.

LINKS

Table of n, a(n) for n=0..9.

EXAMPLE

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.

CROSSREFS

Cf. A061845.

Sequence in context: A139887 A174409 A156502 * A157067 A023281 A042457

Adjacent sequences:  A111453 A111454 A111455 * A111457 A111458 A111459

KEYWORD

base,fini,nonn

AUTHOR

Martin Fuller (martin.n.fuller(AT)aeat.co.uk), Nov 15 2005

STATUS

approved

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Last modified May 26 04:23 EDT 2013. Contains 225653 sequences.