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A016256
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Expansion of 1/((1-x)*(1-8*x)*(1-9*x)).
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7
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1, 18, 235, 2700, 28981, 298278, 2984095, 29253600, 282456361, 2695498938, 25486623955, 239196683700, 2231306698141, 20710052641998, 191416812647815, 1762962024789000, 16188343910770321, 148268580698287458, 1355005110295423675, 12359749064745505500
(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 (18,-89,72)
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FORMULA
| a(n)=17*a(n-1)-72*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011
a(n) = 9^(n+2)/8 -8^(n+2)/7 +1/56. - R. J. Mathar, Mar 14 2011
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MAPLE
| a:=n->sum(9^(n-j)-8^(n-j), j=0..n): seq(a(n), n=1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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MATHEMATICA
| Table[(-8^(n + 2) + 7*9^(n + 1) + 1)/56, {n, 40}] (* and *) CoefficientList[Series[1/((1 - z) (1 - 8*z) (1 - 9*z)), {z, 0, 40}], z] (* From Vladimir Joseph Stephan Orlovsky, Jul 21 2011 *)
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CROSSREFS
| Cf. A000225, A003462, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125.
Sequence in context: A193982 A021094 A125453 * A017065 A016252 A016301
Adjacent sequences: A016253 A016254 A016255 * A016257 A016258 A016259
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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