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The Fibonacci numbers have many mathematical relationships and have been discovered repeatedly in nature. They are constructed as the sum of the previous two values, initialized with the values 1 and 1.

A pdf of this example is available here.

SAS
In SAS, we use the lag function (section 1.4.17, p. 22) to retrieve the last value.
```data fibo;
do i = 1 to 10;
fib = sum(fib, lag(fib));
if i eq 1 then fib = 1;
output;
end;
run;
proc print data=fibo;
run;
```

This generates the following output:
```Obs i fib
1   1   1
2   2   1
3   3   2
4   4   3
5   5   5
6   6   8
7   7  13
8   8  21
9   9  34
10 10  55```

R
In R we can loop over an array to perform the same job.
```len <- 10
fibvals <- numeric(len)
fibvals[1] <- 1
fibvals[2] <- 1
for (i in 3:len) {
fibvals[i] <- fibvals[i-1]+fibvals[i-2]
}
```

This generates the following output:
```> fibvals
[1] 1 1 2 3 5 8 13 21 34 55
```