The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes...

1729. Visually, 1729 can be found in other figurate numbers. It is the tenth centered cube number (a number that counts the points in a three-dimensional...

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

strobogrammatic number because it looks the same when viewed both right-side and upside down. 69 is a centered tetrahedral number, a figurate number that represents...

number following 189 and preceding 191. 190 is a triangular number, a hexagonal number, and a centered nonagonal number, the fourth figurate number (after...

polygonal number is a number that counts dots arranged in the shape of a regular polygon: 2-3 . These are one type of 2-dimensional figurate numbers. Polygonal...

mathematics and combinatorics, a centered hexagonal number, or centered hexagon number, is a centered figurate number that represents a hexagon with a dot in the...

17 + 19 + 23 + 29 + 31 + 37 197 is a centered heptagonal number, a centered figurate number that represents a heptagon with a dot in the center and all...

In mathematics, an octagonal number is a figurate number. The nth octagonal number on is the number of dots in a pattern of dots consisting of the outlines...

A nonagonal number, or an enneagonal number, is a figurate number that extends the concept of triangular and square numbers to the nonagon (a nine-sided...

partitioning a set of five elements into any number of ordered sequences. 501 is also a figurate number based on the 5-orthoplex or 5-dimensional cross...

fourth square triangular number. As a figurate number, 204 is also a nonagonal number and a truncated triangular pyramid number. 204 is a member of the...

A centered cube number is a centered figurate number that counts the points in a three-dimensional pattern formed by a point surrounded by concentric cubical...

is a figurate number for a rhombic dodecahedron, the difference of two consecutive fourth powers: 175 = 44 − 34. It is also a decagonal number and a...

Additionally, 235 is: a semiprime a heptagonal number a centered triangular number therefore a figurate number in two ways palindromic in bases 4 (32234)...

In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center...

A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center...

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...

to be added to a figurate number to transform it to the next bigger one. For example, the gnomon of the square number is the odd number, of the general...

In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The...

powers (1105 = 74 − 64) it is a rhombic dodecahedral number (a type of figurate number), and a magic number for body-centered cubic crystals. These properties...

A hexagonal number is a figurate number. The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of...

In mathematics, a star number is a centered figurate number, a centered hexagram (six-pointed star), such as the Star of David, or the board Chinese checkers...

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...

the natural number following 275 and preceding 277. 276 is the sum of 3 consecutive fifth powers (276 = 15 + 25 + 35). As a figurate number it is the 23rd...

with this third integer being a specific type of figurate number corresponding to an n-cube with a number of dimensions corresponding to the exponential...

In mathematics, a centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding...

of figurate number, the pronic numbers are sometimes called oblong because they are analogous to polygonal numbers in this way: The nth pronic number is...

A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other...

A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center...