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Search: id:A002283
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| 0, 9, 99, 999, 9999, 99999, 999999, 9999999, 99999999, 999999999, 9999999999, 99999999999, 999999999999, 9999999999999, 99999999999999, 999999999999999, 9999999999999999, 99999999999999999
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A friend from Germany remarks that the sequence 9, 99, 999, 9999, 99999, 999999, ... might be called the grumpy German sequence: nein!, nein! nein!, nein! nein! nein!, ...
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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G.f.: 1/(1-10*x)-1/(1-x). E.g.f.: e^(10*x)-e^x. [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]
a(n)=10*a(n-1)+9, with a(0)=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 23 2009]
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CROSSREFS
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Cf. A007138; A003020.
Sequence in context: A070843 A108908 A116260 this_sequence A103456 A155157 A015685
Adjacent sequences: A002280 A002281 A002282 this_sequence A002284 A002285 A002286
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KEYWORD
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easy,nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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