Search: id:A104582
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%I A104582
%S A104582 1,2,1,4,2,1,7,4,2,1,12,7,4,2,1,20,12,7,4,2,1,33,20,12,7,4,2,1,54,33,20,
%T A104582 12,7,4,2,1,88,54,33,20,12,7,4,2,1,143,88,54,33,20,12,7,4,2,1,232,143,
%U A104582 88,54,33,20,12,7,4,2,1,376,232,143,88,54,33,20,12,7,4,2,1,609,376,232
%N A104582 Triangle read by rows: T(i,j) is the (i,j)-entry (1<=j<=i) of the product 
               of the lower triangular matrix (fibonacci(i-j+1)) and of the lower 
               triangular matrix all of whose entries are equal to 1 (for j<=i).
%F A104582 T(i, j)=fibonacci(i-j+3)-1 for 1<=j<=i and 0 otherwise. - Emeric Deutsch 
               (deutsch(AT)duke.poly.edu), Mar 23 2005
%e A104582 The first few rows of the triangle are:
%e A104582 1;
%e A104582 2, 1;
%e A104582 4, 2, 1;
%e A104582 7, 4, 2, 1;
%e A104582 12, 7, 4, 2, 1;
%e A104582 ...
%p A104582 with(combinat): for i from 1 to 13 do seq(fibonacci(i-j+3)-1,j=1..i) 
               od; # yields sequence in triangular form (Deutsch)
%Y A104582 Sum of row n = fibonacci(n+4)-n-3 (A001924). Columns (starting from the 
               diagonal entries) are the Fibonacci numbers -1 (A000071).
%Y A104582 Sequence in context: A059370 A084534 A165899 this_sequence A133938 A074586 
               A134586
%Y A104582 Adjacent sequences: A104579 A104580 A104581 this_sequence A104583 A104584 
               A104585
%K A104582 nonn,tabl
%O A104582 1,2
%A A104582 Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 16 2005
%E A104582 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2005

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