Figurate Number Triangle
A Pascal's Triangle written in a square grid and padded with zeroes, as written by Jakob Bernoulli 
(Smith 1984). The figurate number triangle therefore has entries
where
is the row number, 
the column number, and 
a Binomial Coefficient. Written out explicitly(beginning each row with 
),
Then we have the sum identities
 |  |  | |
 | |  | |
 | |  |
See also Binomial Coefficient, Figurate Number, Pascal's Triangle
References
Smith, D. E. A Source Book in Mathematics. New York: Dover, p. 86, 1984.
- Arcsine
- Arctangent
- Area
- Area Element
- Areal Coordinates
- Area-Preserving Map
- Area Principle
- Arf Invariant
- Argand Diagram
- Argand Plane
- Argoh's Conjecture
- Argument Addition Relation
- Argument (Complex Number)
- Argument (Elliptic Integral)
- Argument (Function)
- Argument Multiplication Relation
- Argument Principle
- Argument Variation
- Aristotle's Wheel Paradox
- Arithmetic
- Arithmetic-Geometric Mean
- Arithmetic Geometry
- Arithmetic-Harmonic Mean
- Arithmetic-Logarithmic-Geometric Mean Inequality
- Arithmetic Mean