ECS #115
 | ECS #115
|
1. Description
No description available
2. Specification
This
labelled
structure is specified as S in
\displaystyle
\left\{ B={\rm Cycle} \left( S \right) ,C={\rm Set} \left( B \right) ,
S={\rm Prod} \left( C,Z \right) \right\}
other formats
3. Coefficients
3.1. First terms
3.2. Recurrence
\displaystyle
\left\{ \left( 2-4\,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}^{2\,n-2}\Gamma \left( n-1/2 \right) }{\sqrt {\pi }}}
other formats
3.4. Asymptotics
4. Exponential
generating function
\displaystyle
1/2-1/2\,\sqrt {1-4\,x}
other formats
5. References
EIS A001813
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).
Generated: 2010-02-09 23:54:22 in 2. seconds of elapsed time.
Based on commit 9d1e479..., Fri Jul 10 14:52:30 2009 +0200.
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