

A135387


Triangle read by rows, with (2, 1, 0, 0, 0,...) in every column.


3



2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2
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OFFSET

1,1


COMMENTS

Let the triangle = M, then M^n * [1, 1, 0, 0, 0,...] generates rows of triangle A118800. M^n * [1, 0, 0, 0,...] generates rows of triangle A038207.
Eigensequence of the triangle = the Pell numbers, A000129: (1, 2, 5, 12, 29,...). [From Gary W. Adamson, Dec 29 2008]


LINKS

Table of n, a(n) for n=1..45.


FORMULA

Triangle by columns (2, 1, 0, 0, 0, 0, 0,...) in every column. By rows, (n2) zeros followed by 1, 2.


EXAMPLE

First few rows of the triangle are:
2;
1, 2
0, 1, 2;
0, 0, 1, 2;
0, 0, 0, 1, 2;
0, 0, 0, 0, 1, 2;
...


CROSSREFS

Cf. A118800, A038207.
A000129 [From Gary W. Adamson, Dec 29 2008]
Sequence in context: A140083 A277729 A057985 * A321104 A127442 A115628
Adjacent sequences: A135384 A135385 A135386 * A135388 A135389 A135390


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Dec 09 2007


STATUS

approved



