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09/19/2002: "What number comes next? 1, 2, 3, 5, 8, 13, 21, 34..."

The On-Line Encyclopedia of Integer Sequences helps you find out what that sequence is (a Fibonacci sequence), what the next number is (55) and what the heck a Fibonacci sequence is. And a Catalan sequence, a Motzkin sequence, and many other things that warp my brains in ways they haven't been warped since my college math classes.