ECS #115
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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 \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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