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Constant-recursive sequence

In mathematics, an infinite sequence of numbers s 0 , s 1 , s 2 , s 3 , … {\displaystyle s_{0},s_{1},s_{2},s_{3},\ldots } is called constant-recursive if it satisfies an equation of the form

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Constant-recursive sequence

Nodes92
Edges91
Triples32
Avg. degree1.98
Density0.021739
Components1

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Constant-recursive sequence

Top relations

related to Decision problems · 7
Constant-recursive sequence → As, Because, Given, Other, The, To, Turing
related to Zeros · 6
Constant-recursive sequence → Define, Despite, Lech, Mahler, The Skolem, This
related to Polynomial sequences · 4
Constant-recursive sequence → Any, If, The, These
related to Examples · 3
Constant-recursive sequence → For, Similarly, The
related to Generalizations · 3
Constant-recursive sequence → Constant-recursive, D-finite, Rather
related to List of operations · 3
Constant-recursive sequence → Cauchy, In, The
related to Closed-form characterization · 1
Constant-recursive sequence → Constant-recursive

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Important terminology

displaystyle sequence constant-recursive sequences recurrence order ldots linear numbers example satisfies polynomial number form also coefficients rational n-1 equation characteristic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
term-wise additioninstance ofConstant-recursive sequences are closed under important mathematical operations0.80text
term-wise multiplicationinstance ofConstant-recursive sequences are closed under important mathematical operations0.80text
and Cauchy product.The Skoleminstance ofConstant-recursive sequences are closed under important mathematical operations0.80text
1instance ofThe definition above allows eventually-periodic sequences0.80text
0instance ofThe definition above allows eventually-periodic sequences0.80text
Constant-recursive sequencerelated to Closed-form characterizationConstant-recursive0.60section
Constant-recursive sequencerelated to Decision problemsThe0.60section
Constant-recursive sequencerelated to Decision problemsTo0.60section
Constant-recursive sequencerelated to Decision problemsGiven0.60section
Constant-recursive sequencerelated to Decision problemsBecause0.60section
Constant-recursive sequencerelated to Decision problemsOther0.60section
Constant-recursive sequencerelated to Decision problemsAs0.60section

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