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A034967
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Sum of digits of numbers between 0 and (10^n)-1.
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9
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0, 45, 900, 13500, 180000, 2250000, 27000000, 315000000, 3600000000, 40500000000, 450000000000, 4950000000000, 54000000000000, 585000000000000, 6300000000000000, 67500000000000000, 720000000000000000
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..16.
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FORMULA
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a(n) = 45*n*10^(n-1)
a(0)=0, a(1)=45, a(n)=20*a(n-1)-100*a(n-2) [From Harvey P. Dale, Oct 09 2011]
G.f.: (45*x)/(10*x-1)^2 [From Harvey P. Dale, Oct 09 2011]
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MATHEMATICA
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Table[45n 10^(n-1), {n, 0, 20}] (* or *) LinearRecurrence[{20, -100}, {0, 45}, 21] (* From Harvey P. Dale, Oct 09 2011 *)
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CROSSREFS
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Sequence in context: A024379 A134290 A078761 * A199352 A195466 A010961
Adjacent sequences: A034964 A034965 A034966 * A034968 A034969 A034970
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KEYWORD
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nonn,easy,base,changed
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AUTHOR
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Felice Russo
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EXTENSIONS
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More terms from James A. Sellers, Jan 19 2000
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STATUS
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approved
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