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Coefficients of Hilbert series for suboperad of bicolored noncrossing configurations generated by a triangle with colored base and at least one more colored edge and a triangle with one colored non-base edge.
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%I #21 Feb 02 2025 10:13:42

%S 1,2,8,38,200,1124,6608,40142,249992,1587548,10241264,66926204,

%T 442120016,2947660616,19808372384,134030802782,912385334792,

%U 6244056445868,42935538999728,296493196682036,2055313327353200,14297177397185912,99769106353379168,698228176760193068

%N Coefficients of Hilbert series for suboperad of bicolored noncrossing configurations generated by a triangle with colored base and at least one more colored edge and a triangle with one colored non-base edge.

%H Frédéric Chapoton and Samuele Giraudo, <a href="https://arxiv.org/abs/1310.4521">Enveloping operads and bicoloured noncrossing configurations</a>, arXiv preprint arXiv:1310.4521 [math.CO], 2013-2014.

%F a(n) = 2 * A007564(n-1) for n > 1 [from Chapoton & Giraudo, Proposition 3.8]. - _Andrey Zabolotskiy_, Feb 01 2025

%Y Cf. A234938, A052701, A007863, A006013, A006318, A007564.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jan 04 2014

%E Terms a(9) onwards added and name clarified by _Andrey Zabolotskiy_, Feb 02 2025