cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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).

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%I A104582 #9 Aug 18 2017 03:16:29
%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,
%T A104582 20,12,7,4,2,1,88,54,33,20,12,7,4,2,1,143,88,54,33,20,12,7,4,2,1,232,
%U A104582 143,88,54,33,20,12,7,4,2,1,376,232,143,88,54,33,20,12,7,4,2,1,609,376,232
%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_, 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 # _Emeric Deutsch_, Mar 23 2005
%Y A104582 Sum of row n = Fibonacci(n+4) - n - 3 (A001924). Columns (starting from the diagonal entries) are the Fibonacci numbers -1 (A000071).
%K A104582 nonn,tabl
%O A104582 1,2
%A A104582 _Gary W. Adamson_, Mar 16 2005
%E A104582 More terms from _Emeric Deutsch_, Mar 23 2005