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A096080
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a(n) = floor((a(n-2)*a(n-1))/(a(n-1)+a(n-2))) + a(n-1) + a(n-2), a(0) = 0, a(1) = 1, a(2) = 1, ...
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0
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0, 1, 1, 2, 3, 6, 11, 20, 38, 71, 133, 250, 469, 882, 1657, 3114, 5852, 10998, 20669, 38845, 73004, 137203, 257857, 484612, 910773, 1711693, 3216930, 6045851, 11362482, 21354481, 40133296, 75425924, 141754368, 266411067, 500689027
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OFFSET
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0,4
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COMMENTS
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lim n->inf a(n)/a(n-1) = 2*cos(Pi/9) = a root of 1 + 3*x - x^3
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LINKS
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MATHEMATICA
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RecurrenceTable[{a[0]==0, a[1]==1, a[n]==Floor[(a[n-2]a[n-1])/(a[n-1]+a[n-2])]+ a[n-1]+a[n-2]}, a, {n, 40}] (* Harvey P. Dale, Mar 18 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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