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Complex Analysis proof of multinomial expression

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#combinatorics #complex-analysis #summation #binomial-coefficients #multinomial-coefficients
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$(1+x+x^2)^{1061}=a_0+a_1+...$ then what is the value of $(1-a_1^{2}+a_2^{2}...)$ in terms of $a_n$

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#multinomial-coefficients
557
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Upper bound to multinomial coefficient sum

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#combinatorics #summation #multinomial-coefficients
404
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Ways of selecting at most n objects from a set containing k distinct elements where each element can occur any number of times.

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#combinatorics #multinomial-coefficients
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Sum of coefficients in an multinomial expression.

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#multinomial-coefficients
2.5k
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Find the coefficient of $x^4$ in the expansion of $(1 + 3x + 2x^3)^{12}$?

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#discrete-mathematics #binomial-coefficients #binomial-theorem #multinomial-coefficients
55
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coefficients of polynomial and binomial expressions

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#polynomials #binomial-coefficients #binomial-theorem #multinomial-coefficients
5.8k
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I need help in calculating the sum of the coefficients of even powers of $x$ in $(1+x-2x^2)^6$

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#multinomial-coefficients
884
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Probability Generating Function of a Negative Multinomial Distribution

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#probability #probability-distributions #generating-functions #multinomial-coefficients #negative-binomial
102
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Numerically stable calculation of multinomial probabilities

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#numerical-methods #multinomial-coefficients
949
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Multinomial Theorem for Negative Exponents

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#sequences-and-series #combinatorics #binomial-theorem #multinomial-coefficients
737
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Sum of variances of multinomial distribution.

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#probability-theory #parameter-estimation #multinomial-coefficients
96
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Rolling two dice...

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#statistics #probability-theory #dice #multinomial-coefficients
66
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Is there a way to find expansion of powers of multinomials without any coefficients?

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#exponentiation #multinomial-coefficients
365
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Sum of terms in a multinomial expansion? (that is all coefficients are equal to one)

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#sequences-and-series #multinomial-coefficients

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