<s>
Hosoya	B-Algorithm
's	I-Algorithm
triangle	I-Algorithm
or	O
the	O
Hosoya	B-Algorithm
triangle	I-Algorithm
(	O
originally	O
Fibonacci	B-Algorithm
triangle	I-Algorithm
;	O
)	O
is	O
a	O
triangular	O
arrangement	O
of	O
numbers	O
(	O
like	O
Pascal	O
's	O
triangle	O
)	O
based	O
on	O
the	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
.	O
</s>
<s>
The	O
name	O
"	O
Fibonacci	B-Algorithm
triangle	I-Algorithm
"	O
has	O
also	O
been	O
used	O
for	O
triangles	O
composed	O
of	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
or	O
related	O
numbers	O
or	O
triangles	O
with	O
Fibonacci	O
sides	O
and	O
integral	O
area	O
,	O
hence	O
is	O
ambiguous	O
.	O
</s>
<s>
Thus	O
,	O
the	O
two	O
outermost	O
diagonals	O
are	O
the	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
,	O
while	O
the	O
numbers	O
on	O
the	O
middle	O
vertical	O
line	O
are	O
the	O
squares	O
of	O
the	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
.	O
</s>
<s>
All	O
the	O
other	O
numbers	O
in	O
the	O
triangle	O
are	O
the	O
product	O
of	O
two	O
distinct	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
greater	O
than	O
1	O
.	O
</s>
<s>
The	O
row	O
sums	O
are	O
the	O
first	O
convolved	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
.	O
</s>
