 | ECS #399 |
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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,1\leq {\rm card} \right) ,C={\rm
Sequence} \left( Z \right) ,S={\rm Prod} \left( C,C,B \right)
\right\}
other formats
3. Coefficients
3.1. First terms
3.2. Recurrence
\displaystyle
\left\{ \left( -{n}^{2}-3\,n-2 \right) f \left( n \right) +f \left( n
+1 \right) n=0,f \left( 0 \right) =0,f \left( 1 \right) =1,f \left( 2
\right) =6 \right\}
other formats
3.3. Closed form
\displaystyle
\left( 1/2\,{n}^{2}+1/2\,n \right) n!
other formats
3.4. Asymptotics
4. Exponential generating function
\displaystyle
-{\frac {x}{ \left( -1+x \right) ^{3}}}
other formats
5. References
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).