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A Fibonacci triangle, row sums = A023610
0

%I #2 Mar 30 2012 17:25:32

%S 1,2,1,3,2,2,5,3,4,5,8,5,6,6,5,13,8,10,9,10,8,21,13,16,15,15,16,13,34,

%T 21,26,24,25,24,26,21,55,34,42,39,40,40,39,42,34

%N A Fibonacci triangle, row sums = A023610

%C Row sums = A023610: (1, 3, 7, 15, 30, 58,...).

%F The triangle as an infinite lower triangular matrix = A * B. A = a Fibonacci subsequences decrescendo triangle: (1; 2,1; 3,2,1; 5,3,2,1;...) and B = A127647, an infinite lower triangular matrix with the Fibonacci sequence as the main diagonal and the rest zeros.

%e First few rows of the triangle =

%e 1;

%e 2, 1;

%e 3, 2, 2;

%e 5, 3, 4, 3;

%e 8, 5, 6, 6, 5;

%e 13, 8, 10, 9, 10, 8;

%e 21, 13, 16, 15, 15, 16, 13;

%e 34, 21, 26, 24, 25, 24, 26, 21;

%e ... Row 4 = (5, 3, 4, 3) = termwise products of (5, 3, 2, 1) and (1, 1, 2, 3).

%Y A023610

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Sep 12 2008