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A255216
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a(n) = floor((3/sqrt(5))^n).
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1
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1, 1, 1, 2, 3, 4, 5, 7, 10, 14, 18, 25, 34, 45, 61, 82, 110, 147, 198, 266, 357, 479, 642, 862, 1156, 1552, 2082, 2793, 3748, 5028, 6746, 9051, 12143, 16292, 21859, 29327, 39346, 52788, 70823, 95019, 127482, 171035, 229468, 307863, 413042, 554155, 743477, 997479, 1338258
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OFFSET
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0,4
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COMMENTS
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a(n) is the total length (rounded down to integer) of the elements of a variant of a 3-element fractal after n iterations, starting with 3 elements, each of whose length is 1/3 (in some units). See illustration in the links.
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LINKS
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FORMULA
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a(n) = floor((3/sqrt(5))^n).
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MATHEMATICA
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With[{c=3/Sqrt[5]}, Table[Floor[c^n], {n, 0, 50}]] (* Harvey P. Dale, Oct 23 2023 *)
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PROG
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(PARI){for(n=0, 100, a=floor((3/sqrt(5))^n); print1(a, ", "))}
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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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