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Square number - Wikipedia, the free encyclopedia
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Square triangular number - Wikipedia, the free encyclopedia
In mathematics, a square triangular number (or triangular square number ) is a number which is both a triangular number and a perfect square. There are an infinite number of square triangular numb...
en.wikipedia.org/wiki/Square_triangular_number |
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Square numbers can also be generated by taking the product of two .... Stangl (1996) gives an explicit formula by which the number of squares s(n) in Z_n ...
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When we take squares as an example, they can be created this way: 1 1 2 1 2 3 (the numbers should be thought of as numbered dots) 2 2 2 2 3 3 3 3 The first square has 1 dot, so the first square number is 1. ... We can make a general formula that gives the rth n-gonal number (where n is the number of vertices in the polygon):
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Square number | Perfect square (English) ... A number which is the product of two equal whole numbers. eg. ... see also: (en) Cube number (en) Square root ;
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The triangular numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, ... and so on, given by the formula n(n+1)/2. Notice that the numbers 1 and 36 on this list are perfect squares as well as triangular. A standard problem in elementary number theory is to determine ALL the numbers that are both square and triangular.
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