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Search: id:A088487
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| A088487 |
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A self similar Sierpinski type chaotic sequence with rate three at eight levels. |
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+0
4
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| 8, 10, 8, 8, 13, 8, 8, 24, 8, 8, 19, 8, 8, 22, 8, 8, 42, 8, 8, 28, 8, 8, 31, 8, 8, 86, 8, 8, 37, 8, 8, 40, 8, 8, 78, 8, 8, 46, 8, 8, 49, 8, 8, 96, 8, 8, 55, 8, 8, 58, 8, 8, 167, 8, 8, 64, 8, 8, 67, 8, 8, 132, 8, 8, 73, 8, 8, 76, 8, 8, 150, 8, 8, 82, 8, 8, 85, 8, 8, 328, 8, 8, 91, 8, 8, 94, 8, 8
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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A true fractal has an infinite number of levels but usually only six are visable.
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FORMULA
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p[n, k]=n!/Product[i, {i, 1, n-Floor[n/3^k]}] a(n) = Sum[Floor[p[n, k]/p[n-1, k]], {k, 1, 8}]
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MATHEMATICA
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p[n_, k_]=n!/Product[i, {i, 1, n-Floor[n/3^k]}] digits=200 f[n_]=Sum[Floor[p[n, k]/p[n-1, k]], {k, 1, 8}] at=Table[f[n], {n, 2, digits}]
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CROSSREFS
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Sequence in context: A105386 A124685 A105021 this_sequence A010733 A066004 A107032
Adjacent sequences: A088484 A088485 A088486 this_sequence A088488 A088489 A088490
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 09 2003
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