 | ECS #106 |
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1. Description
No description available
2. Specification
This labelled structure is specified as S in
\displaystyle
\left\{ B={\rm Cycle} \left( S,{\rm card}=2 \right) ,S={\rm Union}
\left( Z,B \right) \right\}
other formats
3. Coefficients
3.1. First terms
3.2. Recurrence
\displaystyle
\left\{ \left( 1-2\,n \right) f \left( n \right) +f \left( n+1
\right) =0,f \left( 0 \right) =0,f \left( 1 \right) =1 \right\}
other formats
3.3. Closed form
\displaystyle
{\frac {{2}^{n-1}\Gamma \left( n-1/2 \right) }{\sqrt {\pi }}}
other formats
3.4. Asymptotics
4. Exponential generating function
\displaystyle
1-\sqrt {1-2\,x}
other formats
5. References
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).