- 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...
-
centered triangular numbers by
using the ****ociated figures: at each step, the
previous triangle (shown in red) is
surrounded by a
triangular layer of...
-
properties of oblong,
triangular, and
square numbers: 1 . The
number 10 for example, can be
arranged as a
triangle (see
triangular number): But 10 cannot...
-
viewed as
figurate numbers, a four-dimensional
hyperpyramidal generalization of the
triangular numbers and
square pyramidal numbers. As
Stein (1971) observes...
-
different sets of
numbers,
generalizing from
triangular numbers to
different shapes (polygonal
numbers) and
different dimensions (polyhedral
numbers). The term...
- tetrahedron. The nth
tetrahedral number, Ten, is the sum of the
first n
triangular numbers, that is, T e n = ∑ k = 1 n T k = ∑ k = 1 n k ( k + 1 ) 2 = ∑ k =...
-
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...
-
express γ {\displaystyle \gamma } in
terms of sums and
logarithms of
triangular numbers. One of the
earliest of
these is a
formula for the n {\displaystyle...
-
doubly triangular numbers are the
numbers that
appear within the
sequence of
triangular numbers, in
positions that are also
triangular numbers. That is...
