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A019752
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G.f.: 1/((1-4x)(1-11x)(1-12x)).
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1
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1, 27, 505, 8115, 120241, 1695387, 23126185, 308127555, 4034342881, 52117311147, 666165944665, 8442335850195, 106239836635921, 1329127977509307, 16546285315207945, 205119670292296035, 2533642759410327361, 31197987005034321867, 383112856942345668025
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (7*12^(n+2)+4^(n+2)-8*11^(n+2))/56.
a(n) = 23*a(n-1) - 132*a(n-2) + 4^n.
a(n) = 27*a(n-1) - 224*a(n-2) + 528*a(n-3), n>=3. (End)
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MATHEMATICA
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CoefficientList[Series[1/((1-4x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{27, -224, 528}, {1, 27, 505}, 30] (* Harvey P. Dale, Jul 16 2017 *)
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PROG
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(Magma) [(7*12^(n+2)+4^(n+2)-8*11^(n+2))/56 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
(PARI) Vec(1/((1-4*x)*(1-11*x)*(1-12*x)) + O(x^30)) \\ Michel Marcus, Dec 27 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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