A234939 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.

1, 2, 8, 38, 200, 1124, 6608, 40142, 249992, 1587548, 10241264, 66926204, 442120016, 2947660616, 19808372384, 134030802782, 912385334792, 6244056445868, 42935538999728, 296493196682036, 2055313327353200, 14297177397185912, 99769106353379168, 698228176760193068

Offset

1,2

Links

Table of n, a(n) for n=1..24.

Frédéric Chapoton and Samuele Giraudo, Enveloping operads and bicoloured noncrossing configurations, arXiv preprint arXiv:1310.4521 [math.CO], 2013-2014.

Formula

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

Crossrefs

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

Sequence in context: A394127 A266797 A369208 * A365751 A192784 A108246

Adjacent sequences: A234936 A234937 A234938 * A234940 A234941 A234942

Keyword

nonn

Author

N. J. A. Sloane, Jan 04 2014

Extensions

Terms a(9) onwards added and name clarified by Andrey Zabolotskiy, Feb 02 2025

Status

approved