- The term
figurate number is used by
different writers for
members of
different sets of
numbers,
generalizing from
triangular numbers to
different shapes...
- the
sixth power of four, 46. In
figurate numbers, 5 is a
pentagonal number, with the
sequence of
pentagonal numbers starting: 1, 5, 12, 22, 35, ... 5...
-
twenty steps, like eighteen. Less than ten thousand, only thirty-one
other numbers require nineteen steps to
return back to one: {56, 58, 60, 61, 352, 360...
-
Partition numbers Pn 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, ... The
partition numbers,
number of
additive breakdowns of n. A000041
Fibonacci numbers F(n) 0...
-
equilateral triangle.
Triangular numbers are a type of
figurate number,
other examples being square numbers and cube
numbers. The nth
triangular number is...
-
function for p = 2 {\displaystyle p=2} . The
origin of
happy numbers is not clear.
Happy numbers were
brought to the
attention of Reg
Allenby (a
British author...
-
study of
these numbers goes back to
Archimedes and Fibonacci. They are part of a
broader topic of
figurate numbers representing the
numbers of
points forming...
- the sum of the two
preceding ones.
Numbers that are part of the
Fibonacci sequence are
known as
Fibonacci numbers,
commonly denoted Fn . The sequence...
-
thought of as
alphas (units).
These are one type of 2-dimensional
figurate numbers. The
number 10 for example, can be
arranged as a
triangle (see triangular...
-
following sections. The
pronic numbers were
studied as
figurate numbers alongside the
triangular numbers and
square numbers in Aristotle's Metaphysics, and...