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In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written It is the coefficient of the xk term in the polynomial expansion of the binomial power (1 + x)n, and it is given by the formula For example, the fourth power of 1 + x is and the binomial coefficient is the coefficient of the x2 term. Arranging the numbers in successive rows for gives a triangular array called Pascal's triangle, satisfying the recurrence relation

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• Binomial coefficient
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• In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written It is the coefficient of the xk term in the polynomial expansion of the binomial power (1 + x)n, and it is given by the formula For example, the fourth power of 1 + x is and the binomial coefficient is the coefficient of the x2 term. Arranging the numbers in successive rows for gives a triangular array called Pascal's triangle, satisfying the recurrence relation
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