login
Flattened 5 x 5 matrices: the n-th power a matrix M multiplied by some matrix A.
0

%I #17 Dec 26 2022 05:01:14

%S 1,1,1,1,2,1,1,1,2,3,1,1,2,3,5,1,2,3,5,7,2,3,5,7,10,1,1,1,2,3,1,1,2,3,

%T 5,1,2,3,5,7,2,3,5,7,10,3,5,7,10,14,1,1,2,3,5,1,2,3,5,7,2,3,5,7,10,3,

%U 5,7,10,14,5,7,10,14,20,1,2,3,5,7,2,3,5,7,10,3,5,7,10,14,5,7,10,14,20,7,10

%N Flattened 5 x 5 matrices: the n-th power a matrix M multiplied by some matrix A.

%C This sequence is an interlacing of 25 copies of the absolute values of A107332.

%t M={{0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}, {1, 0, -1, 1, 1}}

%t A[n_]:=M.A[n-1];

%t A[0]:={{1, 1, 1, 1, 1}, {1, 1, 1, 1, 2}, {1, 1, 1, 2, 3}, {1, 1, 2, 3, 5}, {1, 2, 3, 5, 7}};

%t b=Flatten[Table[M.A[n], {n, 0, 12}]]

%K nonn,easy,less,obsc

%O 1,5

%A _Roger L. Bagula_, Sep 02 2004

%E Edited by the Associate Editors of the OEIS, Nov 17 2009