 | ECS #121 |
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1. Description
No description available
2. Specification
This labelled structure is specified as S in
\displaystyle
\left\{ B={\rm Sequence} \left( Z \right) ,C={\rm Prod} \left( B,Z
\right) ,S={\rm Sequence} \left( C \right) \right\}
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3. Coefficients
3.1. First terms
3.2. Recurrence
\displaystyle
\left\{ \left( -2\,n-2 \right) f \left( n \right) +f \left( n+1
\right) =0,f \left( 0 \right) =1,f \left( 1 \right) =1 \right\}
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3.3. Closed form
\displaystyle
\left( {2}^{n-1}+\cases{1/2&$n=0$\cr 0&otherwise\cr} \right) n!
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3.4. Asymptotics
4. Exponential generating function
\displaystyle
{\frac {-1+x}{-1+2\,x}}
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5. References
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).