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A240526
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a(n) = 2^(n-2)*(2^(n+4)-(-1)^n+13).
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1
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7, 23, 76, 284, 1072, 4208, 16576, 65984, 262912, 1050368, 4197376, 16784384, 67121152, 268464128, 1073790976, 4295081984, 17180065792, 68719935488, 274878693376, 1099513462784, 4398049656832, 17592193384448, 70368756760576, 281475006070784, 1125899957174272
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: (7-5*x-44*x^2)/(1-4*x-4*x^2+16*x^3).
a(n) = 4*a(n-1)+4*a(n-2)-16*a(n-3) for n>2.
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MAPLE
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MATHEMATICA
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CoefficientList[Series[(7 - 5 x - 44 x^2)/(1 - 4 x - 4 x^2 + 16 x^3), {x, 0, 30}], x]
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PROG
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(Magma) [2^(n-2)*(2^(n+4)-(-1)^n+13): n in [0..25]] /* or */ I:=[7, 23, 76]; [n le 3 select I[n] else 4*Self(n-1)+4*Self(n-2)-16*Self(n-3): n in [1..30]];
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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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