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A048468
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a(n) = T(7,n), array T given by A047858.
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1
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1, 9, 26, 62, 138, 298, 634, 1338, 2810, 5882, 12282, 25594, 53242, 110586, 229370, 475130, 983034, 2031610, 4194298, 8650746, 17825786, 36700154, 75497466, 155189242, 318767098, 654311418, 1342177274, 2751463418, 5637144570, 11542724602, 23622320122
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OFFSET
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0,2
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COMMENTS
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n-th difference of a(n), a(n-1), ..., a(0) is (8, 9, 10, ...).
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LINKS
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FORMULA
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a(n) = 2^(n-1)*(n+14)-6. a(0)=1, a(1)=9, a(2)=26, a(n) = 5*a(n-1)-8*a(n-2)+4*a(n-3). - Vincenzo Librandi, Sep 28 2011
a(n) = 2^(n-1)*(n+14)-6. G.f.: (1+4*x-11*x^2) / ((1-x)*(1-2*x)^2). - Colin Barker, Feb 18 2016
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MATHEMATICA
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LinearRecurrence[{5, -8, 4}, {1, 9, 26}, 30] (* Harvey P. Dale, Apr 19 2012 *)
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PROG
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(PARI) Vec((1+4*x-11*x^2)/((1-x)*(1-2*x)^2) + O(x^40)) \\ Colin Barker, Feb 18 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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