A097886 Flattened 5 x 5 matrices: the n-th power a matrix M multiplied by some matrix A.

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, 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, 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

Offset

1,5

Comments

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

Links

Table of n, a(n) for n=1..97.

Mathematica

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}}
A[n_]:=M.A[n-1];
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}};
b=Flatten[Table[M.A[n], {n, 0, 12}]]

Crossrefs

Sequence in context: A191090 A331958 A319193 * A308293 A249298 A088863

Adjacent sequences: A097883 A097884 A097885 * A097887 A097888 A097889

Keyword

nonn,easy,less,obsc

Author

Roger L. Bagula, Sep 02 2004

Extensions

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

Status

approved