Bernoulli's triangle is an array of partial sums of the binomial coefficients. For any non-negative integer n and for any integer k included between 0 and n, the component in row n and column k is given by: ∑ p = 0 k ( n p ) , {\displaystyle \sum _{p=0}^{k}{n \choose p},} i.e., the sum of the first k nth-order binomial coefficients.
Bernoulli's triangle is an array of partial sums of the binomial coefficients. For any non-negative integer n and for any integer k included between 0 and n, the component in row n and column k is given by: ∑ p = 0 k ( n p ) , {\displaystyle \sum _{p=0}^{k}{n \choose p},} i.e., the sum of the first k nth-order binomial coefficients.
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