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A173534
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a(n)=a(n-1)+2*a(n-2)-[a(n-1)/2]-[a(n-4)/2]-[a(n-5)/2].
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0
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1, 1, 3, 4, 8, 12, 21, 32, 52, 80, 128, 198, 313, 487, 766, 1194, 1874, 2926, 4585, 7165, 11219, 17540, 27453, 42933, 67182, 105078, 164407, 257168, 402341, 629377, 984629
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OFFSET
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0,3
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COMMENTS
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The limiting ratio a(n+1)/a(n) is:1.564378648884
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LINKS
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FORMULA
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a(n)=a(n-1)+2*a(n-2)-Floor[a(n-1)/2]-Floor[a(n-4)/2]-Floor[a(n-5)/2]
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MATHEMATICA
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a[-3] = 0; a[-2] = 0; a[-1] = 0; a[0] = 1; a[1] = 1;
a[n_] := a[n] =
a[n - 1] + 2*a[n - 2] - Floor[a[n - 1]/2] - Floor[a[n - 4]/2] -
Floor[a[n - 5]/2]
Table[a[n], {n, 0, 30}]
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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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