About: Pascal's triangle

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In mathematics, Pascal's triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy.

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rdf:type	Thing
rdfs:label	Pascal's triangle (en)
rdfs:comment	In mathematics, Pascal's triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy. (en)
rdfs:seeAlso	Pascal matrix
sameAs	Pascal's triangle Pascal's triangle
dbp:wikiPageUsesTemplate	dbt:Commons_category dbt:Define dbt:Div_col dbt:Div_col_end dbt:Image_frame dbt:Math dbt:MathWorld dbt:Mvar dbt:OEIS dbt:Reflist dbt:See_also dbt:Short_description dbt:Sqrt dbt:Unreferenced_section dbt:Resize dbt:Diagonal_split_header dbt:Springer dbt:Blaise_Pascal
Subject	Blaise Pascal Factorial and binomial topics Triangles of numbers
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Pascal's_triangle?oldid=1074022591&ns=0
Wikipage page ID	49497 (xsd:integer)
page length (characters) of wiki page	53505 (xsd:nonNegativeInteger)
Wikipage revision ID	1074022591 (xsd:integer)
has abstract	In mathematics, Pascal's triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy. The rows of Pascal's triangle are conventionally enumerated starting with row at the top (the 0th row). The entries in each row are numbered from the left beginning with and are usually staggered relative to the numbers in the adjacent rows. The triangle may be constructed in the following manner: In row 0 (the topmost row), there is a unique nonzero entry 1. Each entry of each subsequent row is constructed by adding the number above and to the left with the number above and to the right, treating blank entries as 0. For example, the initial number in the first (or any other) row is 1 (the sum of 0 and 1), whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Pascal's_triangle
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