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A140734 Triangle read by rows, X^n * [1,0,0,0,...]; where X = a tridiagonal matrix with (1,1,1...) in the main and subsubdiagonals and (1,2,3,...) in the subdiagonal. +0
2
1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 3, 9, 18, 21, 9, 1, 1, 4, 16, 48, 102, 132, 76, 16, 1, 1, 5, 25, 100, 310, 690, 970, 680, 205, 25, 1, 1, 6, 36, 180, 735, 2340, 5420, 8160, 2550, 456, 36, 1, 1, 7, 49, 294, 1491, 6195, 20195, 48440, 778315, 70245, 32571, 7602, 889, 49, 1 (list; table; graph; listen)
OFFSET

1,6

EXAMPLE

First few rows of the triangle are:

1;

1, 1, 1;

1, 2, 4, 4, 1;

1, 3, 9, 18, 21, 9, 1;

1, 4, 16, 48, 102, 132, 76, 16, 1;

1, 5, 25, 100, 310, 690, 970, 680, 205, 25, 1;

1, 6, 36, 180, 735, 2340, 5420, 8160, 2550, 456, 36, 1;

1, 7, 49, 294, 1491, 6195, 20195, 48440, 77315, 70245, 32571, 7602, 889, 49, 1;

...

CROSSREFS

Cf. A140733, A140735.

Sequence in context: A099211 A094225 A057277 this_sequence A079536 A058923 A107500

Adjacent sequences: A140731 A140732 A140733 this_sequence A140735 A140736 A140737

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), May 25 2008

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


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