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We produce an alternate proof of the extended binomial theorem by solving a first order linear ordinary differential equation with a given initial condition. The method is easy to follow and the ...
Kieren MacMillan, Jonathan Sondow, Proofs of Power Sum and Binomial Coefficient Congruences Via Pascal’s Identity, The American Mathematical Monthly, Vol. 118, No. 6 (June‒July 2011), pp. 549-551 ...
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