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A055528
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a(n)=10*a(n-1)+n^3, a(0)=0.
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0
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0, 1, 18, 207, 2134, 21465, 214866, 2149003, 21490542, 214906149, 2149062490, 21490626231, 214906264038, 2149062642577, 21490626428514, 214906264288515, 2149062642889246, 21490626428897373, 214906264288979562, 2149062642889802479, 21490626428898032790
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OFFSET
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0,3
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COMMENTS
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a(n)/10^n converges to 470/2187=0.214906264...
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LINKS
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Table of n, a(n) for n=0..20.
Index entries for linear recurrences with constant coefficients, signature (14,-46,64,-41,10).
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FORMULA
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a(n) = (10^n-1)*(470/2187)-n^3/9-n^2*(10/27)-n*(110/243).
G.f.: -x*(x^2+4*x+1) / ((x-1)^4*(10*x-1)). - Colin Barker, Sep 13 2014
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PROG
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(PARI) concat(0, Vec(-x*(x^2+4*x+1)/((x-1)^4*(10*x-1)) + O(x^100))) \\ Colin Barker, Sep 13 2014
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CROSSREFS
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Cf. A014824.
Sequence in context: A028025 A109126 A022742 * A304202 A298988 A025959
Adjacent sequences: A055525 A055526 A055527 * A055529 A055530 A055531
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KEYWORD
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nonn,easy
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AUTHOR
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Henry Bottomley, Jul 04 2000
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EXTENSIONS
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Corrected by T. D. Noe, Nov 08 2006
More terms from Colin Barker, Sep 13 2014
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STATUS
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approved
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