Av(12354, 21354, 23154, 23514, 23541)
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Counting Sequence
1, 1, 2, 6, 24, 115, 618, 3591, 22088, 141903, 943590, 6452490, 45159480, 322305165, 2339100078, ...

This specification was found using the strategy pack "Point Placements Tracked Fusion Tracked Component Fusion Symmetries" and has 8 rules.

Finding the specification took 1 seconds.

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\(\begin{align*} F_{0}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{2}\! \left(x \right)\\ F_{1}\! \left(x \right) &= 1\\ F_{2}\! \left(x \right) &= F_{3}\! \left(x \right)\\ F_{3}\! \left(x \right) &= F_{4}\! \left(x \right) F_{7}\! \left(x \right)\\ F_{4}\! \left(x \right) &= F_{5}\! \left(x , 1\right)\\ F_{5}\! \left(x , y\right) &= -\frac{-y F_{6}\! \left(x , y\right)+F_{6}\! \left(x , 1\right)}{-1+y}\\ F_{6}\! \left(x , y\right) &= F_{\text{Av} \left(1243\right)}\! \left(x , y\right)\\ F_{7}\! \left(x \right) &= x\\ \end{align*}\)