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Neil Sloane from the OEIS shows off some sequences which produce surprising graphs.

Numberphile

12:36

Amazing Graphs - Numberphile

Numberphile

10:48

Amazing Graphs II (including Star Wars) - Numberphile

Numberphile

8:40

Amazing Graphs III - Numberphile

Numberphile2

1:47

A Not So Amazing Graph (extra footage) - Numberphile