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Search: id:A097551
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| A097551 |
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Number of positive words of length n in the monoid Br_4 of positive braids on 5 strands. |
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+0
2
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| 1, 4, 13, 37, 101, 273, 737, 1990, 5374, 14513, 39194, 105848, 285855, 771985, 2084836, 5630344, 15205404, 41063976, 110898081, 299493268, 808816679, 2184304257, 5898969706, 15930859211, 43023152830, 116189067703
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: (1 + q^2)^2/(1-4q+5q^2-5q^3+3q^4-q^5).
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MATHEMATICA
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<<DiscreteMath`; Do[Print[SeriesTerm[(1 + q^2)^2/(1-4q+5q^2-5q^3+3q^4-q^5), {q, 0, n}]], {n, 0, 50}] (Propper)
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CROSSREFS
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Cf. A097550-A097556.
Sequence in context: A048474 A054761 A080145 this_sequence A095126 A077842 A067633
Adjacent sequences: A097548 A097549 A097550 this_sequence A097552 A097553 A097554
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KEYWORD
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nonn
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AUTHOR
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D. N. Verma (dnverma(AT)math.tifr.res.in), Aug 16 2004
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EXTENSIONS
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More terms from Ryan Propper (rpropper(AT)stanford.edu), Sep 27 2005
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