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A023805
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Xenodromes: all digits in base 11 are different.
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3
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| A finite sequence.
Considering some base b, there are b numbers with 1 digit, (b-1)*(b-1) numbers with 2 digits -- since leading 0's are not allowed and the second digit must avoid the first. There are (b-1)*(b-1)*(b-2) numbers with 3 digits, (b-1)*(b-1)*(b-2)*..*(b-d+1) numbers with d digits, in total b+(b-1)*sum_{d=2..b} (b-1)!/(b-d)! = b+(b-1)^2* 2F0(1,2-b;;-1) = A001339(b-1). The formula is applicable to sequences A023798 - A023810. This sequence here as A001339(11-1) = 98641011 terms. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 27 2010]
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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. Adams-Watters, Jan 26 2010
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CROSSREFS
| All three of A023805, A160453, A168186 are different.
Sequence in context: A130572 A183224 A098240 * A160453 A168186 A085235
Adjacent sequences: A023802 A023803 A023804 * A023806 A023807 A023808
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KEYWORD
| nonn,base,fini,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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