The first entry of the vector v[n]=M[n]v[n-1], where M[n] is a 7 X 7 matrix M[n] = [[n, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0]] and v[0] is the column vector [0, 0, 0, 0, 0, 0, 1].
A130641
The first entry of the vector v[n]=M[n]v[n-1], where M[n] is a 7 X 7 matrix M[n] = [[n, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0]] and v[0] is the column vector [0, 0, 0, 0, 0, 0, 1].
Terms
- a(0) =0a(1) =1a(2) =2a(3) =6a(4) =24a(5) =120a(6) =720a(7) =5040a(8) =40321a(9) =362891a(10) =3628916a(11) =39918100a(12) =479017320a(13) =6227225880a(14) =87181167360
External references
- oeis: A130641