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The Maxima on-line user's manual

Algebra Calculator

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Minfactorial Calculator

Minfactorial

Function: minfactorial (<expr>) Examines <expr> for occurrences of two factorials which differ by an integer. minfactorial then turns one into a polynomial times the other.

P:14760*k^4+28010*k^3+19505*k^2+5920*k+672;
c:(-1)^(k-1)*P/(k^5*(2*k+1)^5);
minfactorial(binomial(2*k+2,k+1)/binomial(2*k,k));
R:ratsimp(subst(k+1,k,c)/c*((k+1)/(4*k+2))^5);
factor(num(R));
factor(denom(R));

          (%i1) n!/(n+2)!;
                                         n!
          (%o1)                       --------
                                      (n + 2)!
          (%i2) minfactorial (%);
                                          1
          (%o2)                    ---------------
                                   (n + 1) (n + 2)

(%o1)                                true
(%i2) 

Minfactorial Example

Related Examples

minfactorial

f(n):=(b+n)!/(a+n)!;

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minfactorial

? minfactorial;

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minfactorial

n!/(n+2)!;

minfactorial (%);

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minfactorial

f(n):=(b+n)!/(a+n)!;

f(n+1)/f(n);

minfactorial(f(n+1)/f...

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minfactorial

? minfactorial;

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minfactorial

n!/(n+2)!;

minfactorial (%);

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