ECS #1016: Constant sequence
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1. Description

All 8's

2. Specification

This unlabelled structure is specified as S in

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

3.1. First terms

3.2. Recurrence

\displaystyle \left\{ -f \left( n \right) +8=0,f \left( 0 \right) =0,f \left( 1 \right) =8 \right\}
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3.3. Closed form

\displaystyle 8+\cases{-8&$n=0$\cr 0&otherwise\cr}
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3.4. Asymptotics

4. Ordinary generating function

\displaystyle -8\,{\frac {x}{-1+x}}
other formats

5. References

EIS A010731

6. Random structure


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

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Based on commit 9d1e479..., Fri Jul 10 14:52:30 2009 +0200.
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