Fibonacci sequence in the Pascal triangle:
01
01 01
01 02 01
01 03 03 01
01 04 06 04 01
01 05 10 10 05 01
01 06 15 20 15 06 01
01 07 21 35 35 21 ...
01 08 28 56 70 ...
01 09 36 84 ...
01 10 45 ...
01 11 ...
01 ...
...
Not a totally surprising discovery since both the Pascal triangle and Fibonacci sequence are generated additively - pretty neat though.