ECS #492: A simple regular expression in a labelled universe
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ALGO logo ECS #492: A simple regular expression in a labelled universe

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1. Description

No description available

2. Specification

This labelled structure is specified as S in

\displaystyle \left\{ S={\rm Sequence} \left( {\rm Union} \left( Z,Z,Z,Z \right) \right) \right\}
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3. Coefficients

3.1. First terms

3.2. Recurrence

\displaystyle \left\{ \left( -4\,n-4 \right) f \left( n \right) +f \left( n+1 \right) =0,f \left( 0 \right) =1 \right\}
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3.3. Closed form

\displaystyle {4}^{n}n!
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3.4. Asymptotics

4. Exponential generating function

\displaystyle - \left( -1+4\,x \right) ^{-1}
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5. References

EIS A047053

6. Random structure


Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).

Generated: 2010-02-09 22:05:14 in 1. seconds of elapsed time.
Based on commit 9d1e479..., Fri Jul 10 14:52:30 2009 +0200.
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