A bendable lamp that includes an open topped base with an upwardly projecting LED lighting source. A translucent accordion bellows sleeve is attached at one end to the open topped base. The sleeve can be vertically extended or retracted by the user. The nature of the pleats of the accordion sleeve allow the resulting structure to remain in the position that the user pulled, compressed or bent it to. The sleeve can be bent to an inverted J or inverted U shape, and its height can be adjusted. A weight in the lamp's base keeps the lamp from falling over. The LED lights can be programmed by a microprocessor.