ROCHESTER, New York — A storm blamed for at least 36 deaths in six states spread into the Northeast yesterday, coating trees, power lines and roads with a shell of ice up to a half-inch thick and knocking out power to more than half a million homes and businesses.Ice-covered roads cut into Martin Luther King Jr. holiday observances from Albany, New York, to Fort Worth and Austin, Texas, where officials also cancelled Gov. Rick Perry’s inauguration parade today because another round of ice was expected during the night.

The weight of the ice snapped tree limbs and took down power lines, knocking out electricity to about 135,000 customers in New York state and New Hampshire.

Even in Maine, a state well-accustomed to winter weather, a layer of sleet and snow on roads shut down businesses, day care centres and schools.

In hard-hit Missouri, the utility company Ameren said it would probably not have everyone’s lights back on until Wednesday night. Overnight temperatures were expected to drop into the single digits. As of yesterday afternoon, about 312,000 homes and businesses still had no electricity.

Missouri National Guardsmen went door to door, checking on residents, and helped clear slick roads.

About 112,000 homes and businesses blacked out in Oklahoma, some of them since the storm’s first wave struck on Friday, also were still waiting for power Monday. Ice built up by sleet and freezing rain was four inches thick in places.

“Emergency responders are having a hard time getting to residents where their services are needed because of trees and power lines in the road,” said Pittsburg County, Oklahoma, Undersheriff Richard Sexton.

About 127,000 customers were without electricity yesterday in Michigan.

More than 160 flights were cancelled at Dallas-Fort Worth International Airport.

Before dawn yesterday, a car slid into the path of a dump truck on an icy New York highway in Sennett, 20 miles west of Syracuse, killing the car’s driver and two passengers.

“It was very icy, rainy, a snow-sleet mix, so definitely the road conditions had a lot to do with this,” Sheriff David Gould said.

A wave of arctic air trailed the storm and was expected to push temperatures into the single digits in some areas. Oklahoma officials strongly discouraged travel, saying the frigid weather would refreeze slush and water on roads.

Waves of freezing rain, sleet and snow since Friday had been blamed for at least 15 deaths in Oklahoma, eight in Missouri, five in Iowa, four in New York, three in Texas and one in Maine. Seven of the Oklahoma deaths occurred when a minivan carrying 12 people slid off an icy highway Sunday and hit an oncoming truck.