What is the pattern in the following polynom: (how to generate them) 

1:     12 n^2 + 12 n + 1

2:    300 n^3 + 450 n^2 + 160 n + 5

3:   840 n^4+1680 n^3+1030 n^2+190 n+3

4:  1260 n^5+3150 n^4+2730 n^3+945 n^2+107 n+1

5:  27720 n^6+83160 n^5+93030 n^4+47460 n^3+10689 n^2+819 n+5

1:  6n + 5

2:  150 n^2 + 200 n + 55

3:  420 n^33 + 770 n^2 + 410 n + 57

4:  630 n^4+1470 n^3+1155 n^2+343 n+29

5: 13860 n^5 + 39270 n^4 + 40740 n^3 + 18711 n^2 + 3591 n+205

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

I would like to declare spin states; spin up (alpha) and spin down (beta)

such that they form an orthogonal basis not necessarily using Dirac Ket notaion.  I am using the Physics package and Linear Algebra

When I try to use the Dirac Ket notation, I have noncommuting issues with the Cartesian basis

Cart := Vector[column](3, [Ket(X), Ket(Y), Ket(Z)]);

Spin := Vector[column](2, [Ket(alpha), Ket(beta)]);