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A067981
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Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+3), n>=0.
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0
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4, 19, 48, 107, 220, 432, 822, 1529, 2796, 5045, 9006, 15936, 27992, 48863, 84840, 146623, 252368, 432816, 739914, 1261285, 2144484, 3637609, 6157218, 10401792, 17541100, 29531947, 49644192, 83336339
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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a(n)= sum(L(k+1)*L(n+3-k), k=0..n) = (7*n+4)*F(n+1)+4*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).
G.f.: (4+3*x)*(1+2*x)/(1-x-x^2)^2.
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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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