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- Delannoy_number abstract "In mathematics, a Delannoy number describes the number of paths from the southwest corner (0, 0) of a rectangular grid to the northeast corner (m, n), using only single steps north, northeast, or east. The Delannoy numbers are named after French army officer and amateur mathematician Henri Delannoy.The central Delannoy numbers D(n) = D(n,n) are the numbers for a square n × n grid. The first few central Delannoy numbers (starting with n=0) are:1, 3, 13, 63, 321, 1683, 8989, 48639, 265729, ... (sequence A001850 in OEIS).The following figure illustrates the 63 Delannoy paths through a 3 × 3 grid:File:Delannoy3x3.svgThe paths that do not rise above the SW–NE diagonal represent the Schröder numbers.The Delannoy number also counts the number of global alignments of two sequences of lengths and .".
- Delannoy_number thumbnail Delannoy3x3.svg?width=300.
- Delannoy_number wikiPageID "14736250".
- Delannoy_number wikiPageRevisionID "604808360".
- Delannoy_number hasPhotoCollection Delannoy_number.
- Delannoy_number title "Delannoy Number".
- Delannoy_number urlname "DelannoyNumber".
- Delannoy_number subject Category:Combinatorics.
- Delannoy_number subject Category:Integer_sequences.
- Delannoy_number type Abstraction100002137.
- Delannoy_number type Arrangement107938773.
- Delannoy_number type Group100031264.
- Delannoy_number type IntegerSequences.
- Delannoy_number type Ordering108456993.
- Delannoy_number type Sequence108459252.
- Delannoy_number type Series108457976.
- Delannoy_number comment "In mathematics, a Delannoy number describes the number of paths from the southwest corner (0, 0) of a rectangular grid to the northeast corner (m, n), using only single steps north, northeast, or east. The Delannoy numbers are named after French army officer and amateur mathematician Henri Delannoy.The central Delannoy numbers D(n) = D(n,n) are the numbers for a square n × n grid. The first few central Delannoy numbers (starting with n=0) are:1, 3, 13, 63, 321, 1683, 8989, 48639, 265729, ...".
- Delannoy_number label "Delannoy number".
- Delannoy_number label "Nombre de Delannoy".
- Delannoy_number label "Números de Delannoy".
- Delannoy_number label "Числа Деланноя".
- Delannoy_number sameAs Números_de_Delannoy.
- Delannoy_number sameAs Nombre_de_Delannoy.
- Delannoy_number sameAs m.03gw1p1.
- Delannoy_number sameAs Q2886564.
- Delannoy_number sameAs Q2886564.
- Delannoy_number sameAs Delannoy_number.
- Delannoy_number wasDerivedFrom Delannoy_number?oldid=604808360.
- Delannoy_number depiction Delannoy3x3.svg.
- Delannoy_number isPrimaryTopicOf Delannoy_number.
