 | ECS #151 |
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1. Description
No description available
2. Specification
This unlabelled structure is specified as S in
\displaystyle
\left\{ B={\rm Sequence} \left( Z \right) ,C={\rm Sequence} \left( E,1
\leq {\rm card} \right) ,E={\rm Sequence} \left( Z,1\leq {\rm card}
\right) ,S={\rm Prod} \left( B,C \right) \right\}
other formats
3. Coefficients
3.1. First terms
3.2. Recurrence
\displaystyle
\left\{ -2\,f \left( n \right) +f \left( n+1 \right) -1=0,f \left( 0
\right) =0,f \left( 1 \right) =1 \right\}
other formats
3.3. Closed form
\displaystyle
-1+{2}^{n}
other formats
3.4. Asymptotics
4. Ordinary generating function
\displaystyle
{\frac {x}{ \left( -1+x \right) \left( -1+2\,x \right) }}
other formats
5. References
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).