A162239 Years in which January first falls on a Tuesday (since 2001).
2002, 2008, 2013, 2019, 2030, 2036, 2041, 2047, 2058, 2064, 2069, 2075, 2086, 2092, 2097, 2104, 2109, 2115, 2126, 2132, 2137, 2143, 2154, 2160, 2165, 2171, 2182, 2188, 2193, 2199, 2205, 2211, 2222, 2228, 2233, 2239, 2250, 2256, 2261, 2267, 2278, 2284
Offset: 1
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Mathematica
Select[Range[2001,2300],DayName[{#,1,1}]==Tuesday&] (* Harvey P. Dale, Jan 10 2023 *)