Definition of Triangular numbers. Meaning of Triangular numbers. Synonyms of Triangular numbers

Here you will find one or more explanations in English for the word Triangular numbers. Also in the bottom left of the page several parts of wikipedia pages related to the word Triangular numbers and, of course, Triangular numbers synonyms and on the right images related to the word Triangular numbers.

Definition of Triangular numbers

Triangular numbers
Triangular Tri*an"gu*lar, a. [L. triangularis: cf. F. triangulaire.] 1. Having three angles; having the form of a triangle. 2. (Bot.) Oblong or elongated, and having three lateral angles; as, a triangular seed, leaf, or stem. Triangular compasses, compasses with three legs for taking off the angular points of a triangle, or any three points at the same time. Triangular crab (Zo["o]l.), any maioid crab; -- so called because the carapace is usually triangular. Triangular numbers (Math.), the series of numbers formed by the successive sums of the terms of an arithmetical progression, of which the first term and the common difference are 1. See Figurate numbers, under Figurate.

Meaning of Triangular numbers from wikipedia

- A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...
- triangular number and a square number. There are infinitely many square triangular numbers; the first few are: 0, 1, 36, 1225, 41616, 1413721, 48024900, 1631432881...
- tetrahedron. The nth tetrahedral number, Ten, is the sum of the first n triangular numbers, that is, Ten=∑k=1nTk=∑k=1nk(k+1)2=∑k=1n(∑i=1ki){\displaystyle Te_{n}=\sum...
- different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term...
- one type of 2-dimensional figurate numbers. The number 10 for example, can be arranged as a triangle (see triangular number): But 10 cannot be arranged...
- 4095 is the largest of five Ramanujan–Nagell numbers that are both triangular numbers and Mersenne numbers of the general form. The sums of the first five...
- triangular number. In the sequence of triangular numbers, indexed powers of 10 in this sequence generate the following sequence of triangular numbers...
- square numbers are a type of figurate numbers (other examples being cube numbers and triangular numbers). In the real number system, square numbers are non-negative...
- used to approximate the square root of two, Pell numbers can be used to find square triangular numbers, to construct integer approximations to the right...
- perfect numbers are not trapezoidal numbers; that is, they cannot be represented as the difference of two positive non-consecutive triangular numbers. There...