

A023805


Xenodromes: all digits in base 11 are different.


3



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74
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OFFSET

1,3


COMMENTS

Considering some base b, there are b numbers with 1 digit, (b1)*(b1) numbers with 2 digits  since leading 0's are not allowed and the second digit must avoid the first. There are (b1)*(b1)*(b2) numbers with 3 digits, (b1)*(b1)*(b2)*..*(bd+1) numbers with d digits, in total b+(b1)*sum_{d=2..b} (b1)!/(bd)! = b+(b1)^2* 2F0(1,2b;;1) = A001339(b1). The formula is applicable to sequences A023798  A023810. This sequence here as A001339(111) = 98641011 terms. [From R. J. Mathar, Jan 27 2010]
Last term is a(98641011) = 282458553905.  Charles R Greathouse IV, Jun 16 2012


LINKS

Table of n, a(n) for n=1..69.


EXAMPLE

121 (in decimal) = 100 (base 11) is a member of A168186 but not a member of this sequence.  Robert Munafo, Jan 26 2010
156 is in A023805 but not in A168186.  Franklin T. AdamsWatters, Jan 26 2010


CROSSREFS

All three of A023805, A160453, A168186 are different.
Sequence in context: A353838 A183224 A098240 * A168186 A353866 A085235
Adjacent sequences: A023802 A023803 A023804 * A023806 A023807 A023808


KEYWORD

nonn,base,fini,easy


AUTHOR

Olivier Gérard


STATUS

approved



