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Search: id:A101925
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| 1, 2, 4, 5, 8, 9, 11, 12, 16, 17, 19, 20, 23, 24, 26, 27, 32, 33, 35, 36, 39, 40, 42, 43, 47, 48, 50, 51, 54, 55, 57, 58, 64, 65, 67, 68, 71, 72, 74, 75, 79, 80, 82, 83, 86, 87, 89, 90, 95, 96, 98, 99, 102, 103, 105, 106, 110, 111, 113, 114, 117, 118, 120, 121, 128, 129
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OFFSET
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0,2
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COMMENT
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Exponent of 2 in the sequences A032184, A052278, A060055, A066318, A088229, A101926.
p(n) sequence for k=2, s=0. p(n) = min(j: A046699(j) = n). - Frank Ruskey (http://www.cs.uvic.ca/~ruskey/) and Chris Deugau (deugaucj(AT)uvic.ca)
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REFERENCES
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B. Jackson and F. Ruskey, Meta-Fibonacci Sequences, Binary Trees, and Extremal Compact Codes, Electronic Journal of Combinatorics, 13 (2006), #R26, 13 pages.
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LINKS
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C. Deugau and F. Ruskey, Complete k-ary Trees and Generalized Meta-Fibonacci Sequences
B. Jackson and F. Ruskey, Meta-Fibonacci Sequences, Binary Trees, and Extremal Compact Codes
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FORMULA
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g.f.: (1 / 1-z) * (z + z * sum(z^(2^i) * (s + (1 / (1 - z^(2^k)))),i=0..infinity)) - Frank Ruskey (http://www.cs.uvic.ca/~ruskey/) and Chris Deugau (deugaucj(AT)uvic.ca)
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CROSSREFS
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Bisection of A089279. First differences are in A001511.
Cf. A046699.
Sequence in context: A027883 A047380 A117121 this_sequence A101884 A118179 A096603
Adjacent sequences: A101922 A101923 A101924 this_sequence A101926 A101927 A101928
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KEYWORD
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nonn
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AUTHOR
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Ralf Stephan, Dec 28 2004
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