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A016261
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Expansion of 1/((1-x)*(1-9*x)*(1-10*x)).
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0
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1, 20, 291, 3730, 44681, 513240, 5730271, 62683550, 675263061, 7188478660, 75807419051, 793377882570, 8251512054241, 85374719599280, 879483587504631, 9026463398652790, 92349281698986221, 942254646401987100, 9591402928728995011, 97433737469672066210
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (20,-109,90).
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FORMULA
| a(n) = (8*10^(n+2)-9^(n+3)+1)/72 - Bruno Berselli, Mar 21 2011
a(n)=19*a(n-1)-90*a(n-2)+1, n>=2. - Vincenzo Librandi, Mar 21 2011
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MAPLE
| a:=n->sum (10^j-9^j, j=1..n): seq(a(n), n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008
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MATHEMATICA
| Table[(2^(n + 4)*5^(n + 1) - 9^(n + 2) + 1)/72, {n, 40}] (* and *) CoefficientList[Series[1/((1 - z) (1 - 9*z) (1 - 10*z)), {z, 0, 40}], z] (* From Vladimir Joseph Stephan Orlovsky, Jul 21 2011 *)
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CROSSREFS
| Cf. A016218, A016228.
Sequence in context: A021164 A017918 A125477 * A016309 A190824 A016259
Adjacent sequences: A016258 A016259 A016260 * A016262 A016263 A016264
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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