Electrical engineer Chris Fenton designed and built what he calls the Turbo Entabulator.

How does it work? Here's the legend for the image above:

A. SOFTWARE:
A drum of four punch cards works like a program. Three of the cards engage a set of levers that, in turn, pull strings that increase or decrease the numbers on the counters. The cards are tied together with loops of embroidery floss to run continuously.

B. MEMORY:
Similar to RAM, three counter wheels store numbers generated by the punch-card software. Each pull of a lever steps a counter either up or down. When the right counter hits zero, a fourth card advances and a bell rings as the next Fibonacci-sequence number appears.

C. PROCESSING:
A hand crank acts like a modern CPU. It reads the punch-card instructions for which levers to pull, executes them by pulling those levers, and stores the results in memory via the strings that turn each counter. The faster it's cranked, the quicker it computes.

Read more here and here.