 | ECS #170 |
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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,1\leq {\rm card} \right) ,C={\rm
Union} \left( B,E \right) ,E={\rm Sequence} \left( Z,1\leq {\rm card}
\right) ,S={\rm Sequence} \left( C \right) \right\}
other formats
3. Coefficients
3.1. First terms
3.2. Recurrence
\displaystyle
\left\{ 3\,f \left( n \right) -f \left( n+1 \right) =0,f \left( 0
\right) =1,f \left( 1 \right) =2 \right\}
other formats
3.3. Closed form
\displaystyle
2\,{3}^{n-1}+\cases{1/3&$n=0$\cr 0&otherwise\cr}
other formats
3.4. Asymptotics
4. Ordinary generating function
\displaystyle
{\frac {-1+x}{-1+3\,x}}
other formats
5. References
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).