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Concept information

... > mathematical analysis > calculus > sequence > integer sequence > figurate number > polygonal number > triangular number
number > natural numbers > figurate number > polygonal number > triangular number

Terme préférentiel

triangular number  

Définition

  • A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The nth triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting with the 0th triangular number, is
    0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300,
    325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666…
    (sequence A000217 in the OEIS)
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Triangular_number)

Concept générique

Synonyme(s)

  • triangle number

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-TTJRH5JV-B

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RDF/XML TURTLE JSON-LD Dernière modification le 18/10/2024