Star of David theorem - Alchetron, The Free Social Encyclopedia

The Star of David theorem is a mathematical result on arithmetic properties of binomial coefficients. It was discovered by Henry W. Gould in 1972.

Statement

The greatest common divisors of binomial coefficients forming the Star of David shape in Pascal's triangle, are equal:

gcd { ( n − 1 k − 1 ) , ( n k + 1 ) , ( n + 1 k ) } = gcd { ( n − 1 k ) , ( n k − 1 ) , ( n + 1 k + 1 ) } .

References

Star of David theorem Wikipedia

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