Find sum of even index binomial coefficients | CPP Program to find sum of even index term ; Return the sum of even index term ; Calculate value of Binomial Coefficient in bottom up manner ; Base Cases ; Calculate value using previously stored values ; finding sum of even index term . ; Driver Program
#include <bits/stdc++.h> NEW_LINE using namespace std ; int evenSum ( int n ) { int C [ n + 1 ] [ n + 1 ] ; int i , j ; for ( i = 0 ; i <= n ; i ++ ) { for ( j = 0 ; j <= min ( i , n ) ; j ++ ) { if ( j == 0 j == i ) C [ i ] [ j ] = 1 ; else C [ i ] [ j ] = C [ i - 1 ] [ j - 1 ] + C [ i - 1 ] [ j ] ; } } int sum = 0 ; for ( int i = 0 ; i <= n ; i += 2 ) sum += C [ n ] [ i ] ; return sum ; } int main ( ) { int n = 4 ; cout << evenSum ( n ) << endl ; return 0 ; }