Langford pairing

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf combinatorial problem
gptkbp:alsoKnownAs gptkb:Langford_sequence
gptkbp:application mathematical puzzles
gptkbp:describes Arrangement of 2n numbers 1,1,2,2,...,n,n such that between the two occurrences of k there are exactly k numbers.
gptkbp:existenceCondition Exists if and only if n mod 4 = 0 or n mod 4 = 3
gptkbp:field gptkb:mathematics
combinatorics
gptkbp:firstDescribed 1958
https://www.w3.org/2000/01/rdf-schema#label Langford pairing
gptkbp:namedAfter gptkb:C._Dudley_Langford
gptkbp:OEIS A180632
gptkbp:relatedTo gptkb:Skolem_sequence
gptkbp:bfsParent gptkb:Langford_sequence
gptkbp:bfsLayer 7