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A097555 Number of positive words of length n in the monoid Br_8 of positive braids on 9 strands. 1
1, 8, 45, 205, 831, 3133, 11294, 39585, 136302, 464026, 1568151, 5273999, 17681042, 59149925, 197598856, 659479754, 2199585548, 7333198205, 24441067317, 81444567492, 271360676916, 904051477063, 3011711782025, 10032660556567, 33420042561972 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

FORMULA

G.f.: (1+ q^2)^6 /(1-8q+25q^2-45q^3+59q^4-57q^5+41q^6-21q^7+7q^8-q^9).

CROSSREFS

Cf. A097550-A097556.

Sequence in context: A128091 A119950 A055367 * A055222 A026015 A002696

Adjacent sequences:  A097552 A097553 A097554 * A097556 A097557 A097558

KEYWORD

nonn,easy

AUTHOR

D n Verma, Aug 16 2004

EXTENSIONS

Edited and extended by Max Alekseyev, Jun 17 2011

STATUS

approved

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Last modified June 18 03:02 EDT 2013. Contains 226328 sequences.