The Postal Service issued the non-denominated definitive Weathervane Rooster 1-cent make-up rate stamp on November 9, 1998, in Washington, DC. These stamps, along with the Uncle Sam's Hat "H" stamp, supported the new postage rate that became effective January 10, 1999.
The "H" stamp, designed by Terry McCaffrey, was issued in two formats. One version is 18mm high and features thin lettering with a white USA and a black 1998. Ashton Potter printed these water-activated panes of fifty stamps.
The second version is 17mm high and features thick lettering with a pale blue USA and a blue 1998. Banknote Corporation of America printed these water-activated panes of fifty stamps. Both were printed in offset process.
Reference:
Postal Bulletin (October 8, 1998).
Scott 2007 Specialized Catalogue of United States Stamps & Covers. Scott Publishing Co (246).