A000670

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:author gptkb:N._J._A._Sloane
gptkbp:citation gptkb:A001047
gptkb:A000522
gptkb:A000629
gptkb:A002627
gptkb:R._P._Stanley,_Enumerative_Combinatorics,_Vol._1,_Cambridge,_1997,_p._23.
A000110
F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, 1973, p. 19.
gptkbp:describes Counts the number of ways to order n elements with ties allowed (preferential arrangements).
gptkbp:first_terms 1
13
3
541
75
102247563
1636791243
4683
47293
545835
7087261
gptkbp:form a(n) = n! * sum_{k=0..n} 1/k!
a(n) = sum_{k=0..n} binomial(n,k) * k!
gptkbp:hasKeyword easy
nice
nonn
https://www.w3.org/2000/01/rdf-schema#label A000670
gptkbp:OEIS gptkb:A000670
https://oeis.org/A000670
gptkbp:sequence Number of preferential arrangements of n labeled elements
gptkbp:bfsParent gptkb:A008404
gptkbp:bfsLayer 7