In mathematics, the doubly triangular numbers are the numbers that appear within the sequence of triangular numbers, in positions that are also triangular numbers. That is, if denotes the th triangular number, then the doubly triangular numbers are the numbers of the form .
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mathematics, the doublytriangular numbers are the numbers that appear within the sequence of triangular numbers, in positions that are also triangular numbers...
A triangularnumber or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...
doublytriangularnumber. In the sequence of triangular numbers, indexed powers of 10 in this sequence generate the following sequence of triangular numbers...
from 1 to 36), and also a doublytriangularnumber (because 36 is the sum of all numbers up to 8) and the eighth such number (in the series of 1, 6, 21...
In mathematics and computing, a triangular array of numbers, polynomials, or the like, is a doubly indexed sequence in which each row is only as long as...
Fibonacci number, whose digit sum is also 10, in its decimal representation. It is the tenth triangularnumber and the fourth that is doublytriangular, the...
(which is doublytriangular). On the other hand, Graeco-Latin squares with order 6 do not exist; if n {\displaystyle n} is a natural number that is not...
L_{n-2}=L_{n}-L_{n-1}} , one can extend the Lucas numbers to negative integers to obtain a doubly infinite sequence: ..., −11, 7, −4, 3, −1, 2, 1, 3, 4, 7, 11, ... (terms...
sentences where one of the constituents is a pronoun, in which case it is doubly marked, both by word order and by case inflection, where the subject pronoun...
In mathematics, the Perrin numbers are a doubly infinite constant-recursive integer sequence with characteristic equation x3 = x + 1. The Perrin numbers...
progressions in a family of doubly infinite arithmetic progressions have a non-empty intersection, then there exists a number common to all of them; that...
using an O-III astronomical filter (isolating the wavelength of light from doubly ionized oxygen), as almost all light from this nebula is emitted at this...
space L(p,q). Dihedra have also been called bihedra, flat polyhedra, or doubly covered polygons. As a spherical tiling, a dihedron can exist as nondegenerate...
counting binary trees and perfect matchings. Exponential factorial Just as triangular numbers sum the numbers from 1 {\displaystyle 1} to n {\displaystyle n}...
{\displaystyle n} -dimensional doubly-directed hypercube graph can be routed with edge-disjoint paths. Tuza's conjecture: if the maximum number of disjoint triangles...
"magic nuclei", in which one nucleon type or the other is at a magic number, and "doubly magic quantum nuclei", where both are. Due to variations in orbital...
notch cuneate cuneatus leaf base Triangular, wedge-shaped, stem attaches to point cuneiform whole leaf Narrowly triangular, widest on the opposite end from...
solving these question is cylindrical algebraic decomposition, which has a doubly exponential computational complexity and therefore cannot be used in practice...
twigs are slender and often pendulous and the leaves are roughly triangular with doubly serrate margins and turn yellow and brown in autumn before they...