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- Sylvester's_sequence abstract "In number theory, Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are:2, 3, 7, 43, 1807, 3263443, 10650056950807, 113423713055421844361000443 (sequence A000058 in OEIS).Sylvester's sequence is named after James Joseph Sylvester, who first investigated it in 1880. Its values grow doubly exponentially, and the sum of its reciprocals forms a series of unit fractions that converges to 1 more rapidly than any other series of unit fractions with the same number of terms. The recurrence by which it is defined allows the numbers in the sequence to be factored more easily than other numbers of the same magnitude, but, due to the rapid growth of the sequence, complete prime factorizations are known only for a few of its members. Values derived from this sequence have also been used to construct finite Egyptian fraction representations of 1, Sasakian Einstein manifolds, and hard instances for online algorithms.".
- Sylvester's_sequence thumbnail Sylvester-square.svg?width=300.
- Sylvester's_sequence wikiPageExternalLink 1102689567.
- Sylvester's_sequence wikiPageExternalLink DESW_dcfs.ps.
- Sylvester's_sequence wikiPageExternalLink caen.pdf.
- Sylvester's_sequence wikiPageExternalLink kmath455.htm.
- Sylvester's_sequence wikiPageID "4535485".
- Sylvester's_sequence wikiPageRevisionID "606445042".
- Sylvester's_sequence hasPhotoCollection Sylvester's_sequence.
- Sylvester's_sequence title "Sylvester's Sequence".
- Sylvester's_sequence urlname "SylvestersSequence".
- Sylvester's_sequence subject Category:Egyptian_fractions.
- Sylvester's_sequence subject Category:Integer_sequences.
- Sylvester's_sequence subject Category:Mathematical_series.
- Sylvester's_sequence subject Category:Number_theory.
- Sylvester's_sequence subject Category:Recurrence_relations.
- Sylvester's_sequence type Abstraction100002137.
- Sylvester's_sequence type Arrangement107938773.
- Sylvester's_sequence type Chemical114806838.
- Sylvester's_sequence type EgyptianFractions.
- Sylvester's_sequence type Fraction114922107.
- Sylvester's_sequence type Group100031264.
- Sylvester's_sequence type IntegerSequences.
- Sylvester's_sequence type Material114580897.
- Sylvester's_sequence type Matter100020827.
- Sylvester's_sequence type Ordering108456993.
- Sylvester's_sequence type Part113809207.
- Sylvester's_sequence type PhysicalEntity100001930.
- Sylvester's_sequence type Relation100031921.
- Sylvester's_sequence type Sequence108459252.
- Sylvester's_sequence type Series108457976.
- Sylvester's_sequence type Substance100019613.
- Sylvester's_sequence comment "In number theory, Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are:2, 3, 7, 43, 1807, 3263443, 10650056950807, 113423713055421844361000443 (sequence A000058 in OEIS).Sylvester's sequence is named after James Joseph Sylvester, who first investigated it in 1880.".
- Sylvester's_sequence label "Successione di Sylvester".
- Sylvester's_sequence label "Sucesión de Sylvester".
- Sylvester's_sequence label "Suite de Sylvester".
- Sylvester's_sequence label "Sylvester's sequence".
- Sylvester's_sequence label "西爾維斯特數列".
- Sylvester's_sequence sameAs Sucesión_de_Sylvester.
- Sylvester's_sequence sameAs Suite_de_Sylvester.
- Sylvester's_sequence sameAs Successione_di_Sylvester.
- Sylvester's_sequence sameAs m.0c7nd_.
- Sylvester's_sequence sameAs Q2293800.
- Sylvester's_sequence sameAs Q2293800.
- Sylvester's_sequence sameAs Sylvester's_sequence.
- Sylvester's_sequence wasDerivedFrom Sylvester's_sequence?oldid=606445042.
- Sylvester's_sequence depiction Sylvester-square.svg.
- Sylvester's_sequence isPrimaryTopicOf Sylvester's_sequence.
