Base case
p [ 0 ] = 1 ; for ( i = 1 ; i <= n ; ++ i ) { var k = 1 ; while ( ( k * ( 3 * k - 1 ) ) / 2 <= i ) { p [ i ] += ( k % 2 != 0 ? 1 : - 1 ) * p [ i - ( k * ( 3 * k - 1 ) ) / 2 ] ; if ( k > 0 ) { k *= - 1 ; } else { k = 1 - k ; } } } return p [ n ] ; }