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Doubly triangular number information


There are 21 colorings of the four corners of a square using three colors (up to symmetry), a doubly triangular number, formed by combining two of the six colorings of two opposite corners

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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Doubly triangular number

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mathematics, the doubly triangular numbers are the numbers that appear within the sequence of triangular numbers, in positions that are also triangular numbers...

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Triangular number

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A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...

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10

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doubly triangular number. In the sequence of triangular numbers, indexed powers of 10 in this sequence generate the following sequence of triangular numbers...

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Revelation 13

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from 1 to 36), and also a doubly triangular number (because 36 is the sum of all numbers up to 8) and the eighth such number (in the series of 1, 6, 21...

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Triangular array

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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...

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5

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Fibonacci number, whose digit sum is also 10, in its decimal representation. It is the tenth triangular number and the fourth that is doubly triangular, the...

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6

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(which is doubly triangular). On the other hand, Graeco-Latin squares with order 6 do not exist; if n {\displaystyle n} is a natural number that is not...

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Lucas number

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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...

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English language

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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...

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Perrin number

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In mathematics, the Perrin numbers are a doubly infinite constant-recursive integer sequence with characteristic equation x3 = x + 1. The Perrin numbers...

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Arithmetic progression

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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...

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Veil Nebula

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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...

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Dihedron

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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...

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Factorial

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counting binary trees and perfect matchings. Exponential factorial Just as triangular numbers sum the numbers from 1 {\displaystyle 1} to n {\displaystyle n}...

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List of unsolved problems in mathematics

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{\displaystyle n} -dimensional doubly-directed hypercube graph can be routed with edge-disjoint paths. Tuza's conjecture: if the maximum number of disjoint triangles...

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Nuclear shell model

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"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...

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Glossary of leaf morphology

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notch cuneate cuneatus leaf base Triangular, wedge-shaped, stem attaches to point cuneiform whole leaf Narrowly triangular, widest on the opposite end from...

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System of polynomial equations

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solving these question is cylindrical algebraic decomposition, which has a doubly exponential computational complexity and therefore cannot be used in practice...

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Betula pendula

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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...

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