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A140767 Triangle read by rows, X^n * [1,1,0,0,0,...] where X = a tridiagonal matrix with (1,1,1,...) in the main and subdiagonals and (1,0,1,0,1,...) in the subsubdiagonal. +0
1
1, 1, 1, 2, 2, 1, 3, 5, 2, 2, 1, 4, 9, 7, 9, 2, 2, 1, 5, 14, 16, 25, 11, 13, 2, 2, 1, 6, 20, 30, 55, 36, 49, 15, 17, 2, 2, 1, 7, 27, 50, 105, 91, 140, 64, 81, 19, 21, 2, 2, 1, 8, 35, 77, 182, 196, 336, 204, 285, 100, 121, 23, 25, 2, 2 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Row sums = odd indexed Fibonacci numbers starting (2, 5, 13, 34, 89,...).

EXAMPLE

First few rows of the triangle are:

1, 1;

1, 2, 2;

1, 3, 5, 2, 2;

1, 4, 9, 7, 9, 2, 2;

1, 5, 14, 16, 25, 11, 13, 2, 2;

1, 6, 20, 30, 55, 36, 49, 15, 17, 2, 2;

1, 7, 27, 50, 105, 91, 140, 64, 81, 19, 21, 2, 2;

...

CROSSREFS

Sequence in context: A111375 A046752 A086350 this_sequence A060850 A038137 A073133

Adjacent sequences: A140764 A140765 A140766 this_sequence A140768 A140769 A140770

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), May 28 2008

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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