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
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See also Binomial Coefficient, Figurate Number, Pascal's Triangle
References
Smith, D. E. A Source Book in Mathematics. New York: Dover, p. 86, 1984.
- Density (Sequence)
- Denumerable Set
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- de Polignac's Conjecture
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