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 A016322 Expansion of 1/((1-2x)(1-9x)(1-11x)). 1
 1, 22, 345, 4730, 60461, 740982, 8834065, 103324210, 1191912021, 13609144142, 154183593785, 1736366607690, 19463156373181, 217362833310502, 2420404185281505, 26889163207923170, 298163249815659941 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..900 Index entries for linear recurrences with constant coefficients, signature (22,-139,198). FORMULA From Vincenzo Librandi, Oct 09 2011: (Start) a(n) = (7*11^(n+2) + 2^(n+3) - 9^(n+3))/126. a(n) = 20*a(n-1) - 99*a(n-2) + 2^n. a(n) = 22*a(n-1) - 139*a(n-2) + 198*a(n-3), n >= 3. (End) MATHEMATICA CoefficientList[Series[1/((1-2x)(1-9x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{22, -139, 198}, {1, 22, 345}, 30] (* Harvey P. Dale, Oct 15 2019 *) PROG (MAGMA) [(7*11^(n+2) +2^(n+3)-9^(n+3))/126 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011 (PARI) Vec(1/((1-2*x)*(1-9*x)*(1-11*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012 CROSSREFS Sequence in context: A277835 A018055 A277834 * A096047 A016320 A103722 Adjacent sequences:  A016319 A016320 A016321 * A016323 A016324 A016325 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified May 26 14:52 EDT 2020. Contains 334626 sequences. (Running on oeis4.)