Fig10_45.cpp - Better algorithm to replace fig10_43.c (see text)
	
	#include <iostream.h>
        #include "vector.h"

/* START: Fig10_45.txt */
        double eval( int n )
        {
            vector<double> c( n + 1 );

            c[ 0 ] = 1.0;
            for( int i = 1; i <= n; i++ )
            {
                double sum = 0.0;
                for( int j = 0; j < i; j++ )
                    sum += c[ j ];
                c[ i ] =  2.0 * sum / i + i;
            }

            return c[ n ];
        }
/* END */

        int main( )
        {
            cout << "eval( 10 ) = " << eval( 10 ) << endl;
            return 0;
        }
