bernoulli triangle

Input interpretation

Bernoulli triangle

Definition

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1 2
1 3 4
1 4 7 8
1 5 11 15 16
1 6 16 26 31 32
The number triangle illustrated above (OEIS A008949) composed of the partial sums of binomial coefficients, a_(n k) | = | sum_(i = 0)^k(n
i)
 | = | 2^n - (Γ(n + 1)_2 F_1(1, k - n + 1;k + 2;-1))/(Γ(k + 2) Γ(n - k)),