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  2. Figurate number - Wikipedia

    en.wikipedia.org/wiki/Figurate_number

    Figurate numbers were a concern of the Pythagorean worldview. It was well understood that some numbers could have many figurations, e.g. 36 is a both a square and a triangle and also various rectangles. The modern study of figurate numbers goes back to Pierre de Fermat, specifically the Fermat polygonal number theorem.

  3. Category:Figurate numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Figurate_numbers

    Print/export Download as PDF; Printable version; ... Pages in category "Figurate numbers" The following 51 pages are in this category, out of 51 total. ...

  4. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758: Extravagant numbers: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30, 33, 34, 36, 38, ... A number that has fewer digits than the number of digits in its prime factorization (including ...

  5. Centered pentagonal number - Wikipedia

    en.wikipedia.org/wiki/Centered_pentagonal_number

    Download as PDF; Printable version ... is a centered figurate number that represents a pentagon ... the pattern 1-6-6-1. Centered pentagonal numbers follow the ...

  6. Template:Figurate numbers - Wikipedia

    en.wikipedia.org/wiki/Template:Figurate_numbers

    Print/export Download as PDF; Printable version; ... {Figurate numbers | state = expanded}} will show the template expanded, i.e. fully visible. See also

  7. Polygonal number - Wikipedia

    en.wikipedia.org/wiki/Polygonal_number

    In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon [1]: 2-3 . These are one type of 2-dimensional figurate numbers . Polygonal numbers were first studied during the 6th century BC by the Ancient Greeks, who investigated and discussed properties of oblong , triangular , and square numbers ...

  8. Pentagonal number - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_number

    The nth pentagonal number p n is the number of distinct dots in a pattern of dots consisting of the outlines of regular pentagons with sides up to n dots, when the pentagons are overlaid so that they share one vertex. For instance, the third one is formed from outlines comprising 1, 5 and 10 dots, but the 1, and 3 of the 5, coincide with 3 of ...

  9. Heptagonal number - Wikipedia

    en.wikipedia.org/wiki/Heptagonal_number

    In mathematics, a heptagonal number is a figurate number that is constructed by combining heptagons with ascending size. The n -th heptagonal number is given by the formula H n = 5 n 2 − 3 n 2 {\displaystyle H_{n}={\frac {5n^{2}-3n}{2}}} .