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Search: id:A088661
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| A088661 |
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A log based Cantor self similar sequence. |
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+0
1
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| 8, 8, 7, 6, 7, 8, 8, 7, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 5, 7, 8, 8, 7, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 7, 8, 8, 7, 5, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 7, 8, 8, 7, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 7, 8, 8, 7, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 4, 7, 8, 8, 7, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 7, 8, 8, 7, 5
(list; graph; listen)
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OFFSET
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3,1
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FORMULA
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p[n_, k_]=Sum[Log[i], {i, 1, n}]/Sum[Log[i], {i, n-Floor[3*n/4^k], n-Floor[n/4^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_]=Sum[Log[i], {i, 1, n}]/Sum[Log[i], {i, n-Floor[3*n/4^k], n-Floor[n/4^k]}] digits=200 f[n_]=Sum[Floor[p[n, k]/p[n-1, k]], {k, 1, 8}] at=Table[f[n], {n, 3, digits}]
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CROSSREFS
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Cf. A088487 A self similar Sierpinski type chaotic sequence with rate three at eight levels. A088488 A self similar Cantor type sequence with eight levels.
Sequence in context: A140976 A021057 A154400 this_sequence A127196 A070481 A011109
Adjacent sequences: A088658 A088659 A088660 this_sequence A088662 A088663 A088664
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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 21 2003
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