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A070972
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Length of longest run of consecutive 1's in binary expansion of 3^n (A004656).
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0
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1, 2, 1, 2, 1, 4, 2, 2, 2, 3, 3, 7, 6, 4, 5, 4, 3, 4, 4, 4, 6, 5, 5, 4, 3, 2, 10, 8, 7, 5, 4, 5, 7, 9, 8, 6, 5, 7, 11, 10, 8, 6, 6, 4, 9, 7, 6, 4, 9, 8, 6, 9, 8, 6, 5, 5, 3, 4, 7, 5, 10, 8, 7, 6, 6, 6, 6, 4, 4, 7, 7, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 6, 5, 6, 5, 5, 4, 6, 5, 10, 8, 7, 5, 6, 6, 6, 7, 7, 6, 7, 5, 5, 5, 9
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OFFSET
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0,2
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LINKS
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EXAMPLE
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3^11 = (101011001111111011) binary, so a(11) = 7.
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MATHEMATICA
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f[n_Integer] := Block[{p = Flatten[ Position[ Prepend[ IntegerDigits[2*3^n, 2], 0], 0]]}, Max[Drop[p, 1] - Drop[p, -1]] - 1]; Table[ f[n], {n, 0, 103}]
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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Frank Schwellinger (nummer_eins(AT)web.de), Jan 03 2003
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EXTENSIONS
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STATUS
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approved
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