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The Maxima on-line user's manual

Algebra Calculator

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Factcomb

Function: factcomb (<expr>) Tries to combine the coefficients of factorials in <expr> with the factorials themselves by converting, for example, (n + 1)*n! into (n + 1)!.

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(%)));

sumsplitfact if set to false will cause minfactorial to be applied after a factcomb.

(%o1)                                true
(%i2) 

Related Examples

factcomb-minfactorial-ratsimp

solve_rec(a[n]=a[n-1]...

2*x*(x+1)*y[x] - (x^...

solve_rec(%, y[x], y...

Calculate

factcomb-pochhammer

factcomb(pochhammer(a...

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factcomb

factcomb(3/(x+y)^2 - ...

Calculate

factcomb-minfactorial-ratsimp

solve_rec(a[n]=a[n-1]...

2*x*(x+1)*y[x] - (x^...

solve_rec(%, y[x], y...

Calculate

factcomb-pochhammer

factcomb(pochhammer(a...

Calculate

factcomb

factcomb(3/(x+y)^2 - ...

Calculate