Here is an update for the 2020 Census. (This thread is the top Google result for "state weighted population density")
New York......30,854.3
(D. of Columbia......20,642.9)
Hawaii......9,251.8
New Jersey......9,013.3
California......8,545.5
Massachusetts......7,436.3
Illinois......7,053.0
Nevada......5,920.6
Rhode Island......5,508.5
Pennsylvania......5,224.1
Maryland......4,696.1
Washington......4,246.9
Florida......4,224.5
Arizona......3,962.9
Colorado......3,962.4
Connecticut......3,769.0
Utah......3,699.5
Oregon......3,663.1
Virginia......3,587.8
Texas......3,458.9
Minnesota......2,769.3
Wisconsin......2,712.5
Michigan......2,613.6
Delaware......2,590.7
Ohio......2,486.2
Nebraska......2,442.7
New Mexico......2,218.1
Louisiana......2,069.4
Idaho......2,021.8
Missouri......1,986.4
Georgia......1,918.5
Kansas ......1,885.9
Indiana......1,841.2
Alaska......1,798.8
Oklahoma......1,748.2
North Dakota......1,683.3
Iowa......1,622.3
Kentucky......1,572.0
New Hampshire......1,458.8
Tennessee......1,430.5
North Carolina......1,415.8
Montana......1,189.9
South Dakota......1,181.4
South Carolina......1,161.4
Wyoming......1,034.2
Maine......1,007.6
Alabama......991.2
Vermont......957.7
Arkansas......942.5
West Virginia......856.1
Mississippi......750.8