 | ECS #922: A simple regular expression |
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1. Description
No description available
2. Specification
This unlabelled structure is specified as S in
\displaystyle
\left\{ S={\rm Sequence} \left( {\rm Prod} \left( {\rm Sequence}
\left( Z \right) ,{\rm Union} \left( Z,Z,Z,Z,Z \right) \right)
\right) \right\}
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3. Coefficients
3.1. First terms
3.2. Recurrence
\displaystyle
\left\{ 6\,f \left( n \right) -f \left( n+1 \right) =0,f \left( 0
\right) =1,f \left( 1 \right) =5 \right\}
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3.3. Closed form
\displaystyle
5\,{6}^{-1+n}+\cases{1/6&$n=0$\cr 0&otherwise\cr}
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3.4. Asymptotics
4. Ordinary generating function
\displaystyle
{\frac {-1+x}{-1+6\,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).