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A059224
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a(n) = 2^(n-3)*(n + 3)*(2*n - 3).
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2
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18, 70, 224, 648, 1760, 4576, 11520, 28288, 68096, 161280, 376832, 870400, 1990656, 4513792, 10158080, 22708224, 50462720, 111542272, 245366784, 537395200, 1172307968, 2548039680, 5519704064, 11920211968, 25669140480
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OFFSET
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3,1
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LINKS
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FORMULA
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a(n) = 6*a(n-1) - 12*a(n-2) + 8*a(n-3).
E.g.f.: (1/8)*((9 + 8*x - 10*x^2) - (9 - 10*x - 8*x^2)*exp(2*x)). (End)
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MAPLE
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seq(2^(n-3)*(n+3)*(2*n-3), n = 3 .. 32); # Emeric Deutsch, Jun 27 2009]
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MATHEMATICA
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Table[2^(n-3)*(n + 3)*(2*n - 3), {n, 3, 50}] (* or *) LinearRecurrence[{6, -12, 8}, {18, 70, 224}, 25] (* G. C. Greubel, Dec 30 2016 *)
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PROG
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(PARI) { for (n = 3, 200, write("b059224.txt", n, " ", 2^(n - 3)*(n + 3)*(2*n - 3)); ) } \\ Harry J. Smith, Jun 25 2009
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CROSSREFS
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A diagonal of triangle defined in A059226.
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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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