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0, 8, 80, 728, 6560, 59048, 531440, 4782968, 43046720, 387420488, 3486784400, 31381059608, 282429536480, 2541865828328, 22876792454960, 205891132094648, 1853020188851840, 16677181699666568, 150094635296999120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| 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(0)=0). [From Vincenzo Librandi, Nov 19 2010]
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MATHEMATICA
| Table[(9^n - 1), {n, 0, 20}]
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CROSSREFS
| Cf. A052386, A052379.
Sequence in context: A166157 A145729 A182604 * A155144 A136949 A102592
Adjacent sequences: A024098 A024099 A024100 * A024102 A024103 A024104
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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