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A173514
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a(n) = 2*a(n-1) + a(n-2) - [a(n-2)/2] - [a(n-4)/2] - [a(n-5)/2].
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0
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1, 1, 3, 7, 16, 36, 79, 172, 373, 806, 1742, 3762, 8123, 17538, 37864, 81745, 176480, 381003, 822545, 1775788, 3833737, 8276627, 17868350, 38575848, 83281109, 179794961, 388157989, 837991360, 1809133237, 3905724120, 8432038385
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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:2.1588924674387395
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LINKS
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FORMULA
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a(n) = 2*a(n - 1) + a(n - 2) - Floor[a(n - 2)/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] =
2*a[n - 1] + a[n - 2] - Floor[a[n - 2]/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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