Search: id:A140736
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%I A140736
%S A140736 1,1,1,1,1,1,3,2,1,1,1,5,4,6,3,1,1,1,7,6,15,10,10,4,1,1,1,9,8,28,21,35,
%T A140736 20,15,5,1,1,1,11,10,45,36,84,56,70,35,21,6,1,1,1,13,12,66,55,165,120,
%U A140736 210,126,126,56,28,7,1
%N A140736 Triangle read by rows, X^n * [1,0,0,0,...]; where X = a tridiagonal matrix 
               with (1,0,1,0,1,...) in the main diagonal and (1,1,1,...) in the 
               sub and subsubdiagonals.
%C A140736 Row sums = F(2n), where A001906 = (1, 3, 8, 21, 55,...). Example: Row 
               4 terms = (1, 1, 5, 4, 6, 3, 1), sum = 21 = F(8).
%C A140736 The presence of the terms in Pascal's triangle points to a combinatorial 
               version.
%C A140736 A140737 = triangle with reversed terms by rows: - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               May 25 2008
%e A140736 First few rows of the triangle are:
%e A140736 1;
%e A140736 1, 1, 1;
%e A140736 1, 1, 3, 2, 1;
%e A140736 1, 1, 5, 4, 6, 3, 1;
%e A140736 1, 1, 7, 6, 15, 10, 10, 4, 1;
%e A140736 1, 1, 9, 8, 28, 21, 35, 20, 15, 5, 1;
%e A140736 1, 1, 11, 20, 45, 36, 84, 56, 70, 35, 21, 6, 1;
%e A140736 1, 1, 13, 12, 66, 55, 165, 120, 210, 126, 126, 56, 28, 7, 1;
%e A140736 ...
%Y A140736 Cf. A001906.
%Y A140736 Cf. A140737.
%Y A140736 Sequence in context: A079948 A106689 A027082 this_sequence A140056 A083663 
               A085427
%Y A140736 Adjacent sequences: A140733 A140734 A140735 this_sequence A140737 A140738 
               A140739
%K A140736 nonn,tabl
%O A140736 1,7
%A A140736 Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), May 25 2008

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