This is not about the sequester, its about an extra day off with pay:
FRIDAY, May 24: Federal Holiday is Monday May 27 (Memorial Day) (4 day week-end)
FRIDAY, June 14: Flag Day (3 day week-end)
FRIDAY, July 5 Thursday July 4th Federal Holiday (4-day week-end)
MONDAY, July 22 (3 day week-end)
FRIDAY, Aug. 30: Monday September 2, Labor Day and Federal Holiday (4 day Week-end)
Most companies and state agencies do such shutdowns a day a week, not a full week. Doing this for a full week gives them a week of unemployment benefits.