Langford sequence

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:alsoKnownAs gptkb:Langford_pairing
gptkbp:application combinatorics
permutation problems
gptkbp:category integer sequence
gptkbp:defines A sequence of 2n numbers in which each number from 1 to n appears exactly twice, and the two occurrences of the number k are k numbers apart.
gptkbp:exampleForN3 2 3 1 2 1 3
gptkbp:existsIn n ≡ 0 or 3 (mod 4)
gptkbp:firstDescribed 1958
https://www.w3.org/2000/01/rdf-schema#label Langford sequence
gptkbp:minimumN n=3
gptkbp:namedAfter gptkb:C._Dudley_Langford
gptkbp:OEIS A180632
gptkbp:relatedTo gptkb:Skolem_sequence
gptkbp:studiedIn discrete mathematics
number theory
gptkbp:bfsParent gptkb:Skolem_sequence
gptkbp:bfsLayer 6