NEW YORK >> Britain’s Prince William and his wife, Kate, wrapped up their first visit to New York in a three-day whirlwind that included a black-tie reception, a meeting with the other king, LeBron James, and a solemn, rain-drenched visit to the National Sept. 11 Memorial and Museum.

At the museum Tuesday, their last day, the Duke and Duchess of Cambridge paid their respects with a handwritten note and told its leaders they were struck by the enormity of the loss in the 2001 terror attacks.

“In sorrowful memory of those who died on 11th September and in admiration of the courage shown to rebuild. William and Catherine,” she wrote in a note the couple left with flowers on the memorial pools lined with the names of the nearly 3,000 victims.

As the royals toured the museum devoted to the attacks, they examined such artifacts as preserved trident columns from one of the fallen twin towers’ facades and viewed rows upon rows of victims’ portraits. Like other visitors, they left virtual signatures to be projected on a crucial underground wall that survived the attacks and held back the Hudson River, with Kate looking on with a smile as hers appeared. And they asked questions about the memorial pools’ design, about how victims’ families had responded to the museum, and about the attacks themselves, National Sept. 11 Memorial and Museum President Joe Daniels said.

Curious museumgoers stood by to get a look at the royals — including the pregnant Kate’s hot-pink Mulberry coat, black tights, and black stiletto-heeled pumps, over a black dress from maternity designer Seraphine. Other fans braved heavy, cold rain outside.

The royals, now 32, were beginning their studies at the University of St. Andrews when the attacks happened. Sixty-seven British citizens died that day, the highest toll of any country other than the U.S.

After the museum, the royal couple watched dance and storytelling performances at The Door, a youth development organization.

The royals went on to a reception celebrating the arts, with guests including actor Patrick Stewart and producer Harvey Weinstein. And William got a look at the view from the Empire State Building’s famous 86th-floor observatory while attending an innovation-focused reception with Mayor Bill de Blasio.

The duke and duchess, who arrived in New York on Sunday, ended their trip at a black-tie scholarship fundraiser for their alma mater, St. Andrews, at the Metropolitan Museum of Art. Kate wore a dark green crepe, pleated, off-the-shoulder Jenny Packham dress, one she has worn before.

On Monday, William met with President Barack Obama at to the White House and spoke at a World Bank conference. Kate wrapped Christmas gifts and helped children decorate picture frames while touring a child development center. Both royals later attended a reception with former Secretary of State Hillary Rodham Clinton, Chelsea Clinton and her husband, Marc Mezvinsky.

William and Kate then took in a Cleveland Cavaliers-Brooklyn Nets game in Brooklyn, meeting music power couple Jay-Z and Beyonce and Cavaliers star LeBron James.