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A173332
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a(n) = a(n-2) + a(n-3) - floor(a(n-4)/2) - floor(a(n-6)/2).
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1
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1, 1, 1, 2, 2, 3, 4, 4, 6, 6, 7, 9, 8, 11, 11, 12, 15, 14, 18, 18, 20, 23, 22, 27, 26, 29, 32, 31, 37, 36, 39, 44, 41, 50, 48, 51, 59, 52, 66, 61, 65, 76, 64, 85, 75, 81, 96, 76, 108, 90, 99
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OFFSET
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0,4
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COMMENTS
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The first negative term is a(82) = -69.
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LINKS
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MATHEMATICA
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f[-4] = 0; f[-3] = 0; f[-2] = 0; f[-1] = 0; f[0] = 1; f[1] = 1;
f[n_] := f[n] = f[n - 2] + f[n - 3] - Floor[f[n - 4]/2] - Floor[f[n - 6]/2]
Table[f[n], {n, 0, 50}]
nxt[{a_, b_, c_, d_, e_, f_}]:= {b, c, d, e, f, e+d-Floor[c/2]-Floor[a/2]}; NestList[ nxt, {1, 1, 1, 2, 2, 3}, 50][[All, 1]] (* Harvey P. Dale, Sep 18 2020 *)
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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