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A277056 Least k such that any sufficiently long repunit multiplied by k is a pandigital number in numerical base n. 3
2, 5, 7, 34, 195, 727, 3724, 9124, 92115, 338161, 2780514, 6871290, 99000993 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Trailing terms of rows of A277055.

Written in base n, the terms read: 10, 12, 13, 114, 523, 2056, 7214, 13457, 92115, 21107A, B21116, 156776A, D211117, ...

LINKS

Table of n, a(n) for n=2..14.

FORMULA

Conjecture: for even n>4, a(n) = (n-2)*n^(n/2-1) + n^(n/2-2) + (n^(n/2)-1)/(n-1) + n/2 - 1.

EXAMPLE

Any binary repunit multiplied by 2 is a binary pandigital, so a(2)=2 (10 in binary).

k-th decimal repunit for k>4 multiplied by 92115 gives a decimal pandigital number (see A277054) with no number less than 92115 having the same property, so a(10)=92115.

CROSSREFS

Cf. A002275, A171102, A277054, A277055, A277059.

Sequence in context: A085394 A041875 A072188 * A160621 A028432 A019409

Adjacent sequences:  A277053 A277054 A277055 * A277057 A277058 A277059

KEYWORD

nonn,base,more

AUTHOR

Andrey Zabolotskiy and Altug Alkan, Sep 26 2016

STATUS

approved

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Last modified June 4 09:42 EDT 2020. Contains 334825 sequences. (Running on oeis4.)