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Search: id:A024101
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| 0, 8, 80, 728, 6560, 59048, 531440, 4782968, 43046720, 387420488, 3486784400, 31381059608, 282429536480, 2541865828328, 22876792454960, 205891132094648, 1853020188851840, 16677181699666568, 150094635296999120
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OFFSET
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0,2
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COMMENT
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Number of integers from 0 to 10^(n+1)-1 that lack any particular digit other than 0. - Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2003
These are the numbers 888...8 in base 9. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 21 2007
a(n) = A024023(n)*A034472(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 14 2009]
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FORMULA
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G.f.: 1/(1-9*x)-1/(1-x). E.g.f.: e^(9*x)-e^x. [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]
a(n)=9*a(n-1)+8 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 30 2009]
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EXAMPLE
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For n=2, a(2)=9*0+8=8; n=3, a(3)=9*8+8=80; n=4, a(4)=9*80+8=728 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 30 2009]
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MATHEMATICA
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Table[(9^n - 1), {n, 0, 20}]
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CROSSREFS
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Cf. A052386, A052379.
Sequence in context: A165760 A166157 A145729 this_sequence A155144 A136949 A102592
Adjacent sequences: A024098 A024099 A024100 this_sequence A024102 A024103 A024104
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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