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A341905
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a(n) = a(n-1) + a(n-2) + 2*a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.
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1
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3, 0, 2, 8, 10, 22, 48, 90, 182, 368, 730, 1462, 2928, 5850, 11702, 23408, 46810, 93622, 187248, 374490, 748982, 1497968, 2995930, 5991862, 11983728, 23967450, 47934902, 95869808, 191739610, 383479222, 766958448, 1533916890, 3067833782, 6135667568, 12271335130
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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.: (-3 + 3*x + x^2)/(-1 + x + x^2 + 2*x^3).
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MAPLE
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a:= n-> (<<0|1|0>, <0|0|1>, <2|1|1>>^n. <<3, 0, 2>>)[1, 1]:
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MATHEMATICA
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LinearRecurrence[{1, 1, 2}, {3, 0, 2}, 35] (* or *)
CoefficientList[Series[(-3 + 3 x + x^2)/(-1 + x + x^2 + 2 x^3), {x, 0, 34}], x]
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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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