The New Year’s Day is comming ! Every family want to make theiir house looks more beautiful , so does Teddy’s . To make his own house looks different from other's , he went to the shop to buy four kinds of tiles . each kind of tiles has different size : 1*1 , 2*2 , 3*3 and 4 * 4, respectively .
The problem is , how many ways there are to tile his floor which has a area of 4*N using these four kinds of tiles ? You can assume that the number of each kind of tiles is enough.