1 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)),