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The Maxima on-line user's manual

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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.

solve_rec(a[n]=a[n-1]+a[n-2]+n/2^n, a[n]);
 2*x*(x+1)*y[x] - (x^2+3*x-2)*y[x+1] + (x-1)*y[x+2];
 solve_rec(%, y[x], y[1]=1, y[3]=3);
 x*y[x+1]*y[x] - y[x+1]/(x+2) + y[x]/(x-1) = 0;
 solve_rec(%, y[x], y[3]=5);
 ratsimp(minfactorial(factcomb(%)));

          (%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)!;

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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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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