Stirling numbers of the first kind
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
combinatorial number |
| gptkbp:appearsIn |
generating functions
polynomial expansions |
| gptkbp:firstPublished |
18th century
|
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Stirling_numbers_of_the_first_kind
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stirling numbers of the first kind
|
| gptkbp:namedAfter |
gptkb:James_Stirling
|
| gptkbp:numberOfRooms |
number of permutations with a given number of cycles
|
| gptkbp:OEIS |
A132393
|
| gptkbp:recurrence |
[n+1 k] = n*[n k] + [n k-1]
|
| gptkbp:relatedTo |
gptkb:Stirling_numbers_of_the_second_kind
|
| gptkbp:signedBy |
true
|
| gptkbp:symbol |
[n k]
|
| gptkbp:unsignedVersion |
gptkb:unsigned_Stirling_numbers_of_the_first_kind
|
| gptkbp:usedFor |
expansion of falling factorials
permutation enumeration |
| gptkbp:usedIn |
gptkb:algebra
combinatorics enumerative combinatorics |
| gptkbp:bfsParent |
gptkb:Stirling_numbers_of_the_second_kind
gptkb:Stirling_numbers |
| gptkbp:bfsLayer |
7
|