%I
%S 1585,1591,1602,1613,1619,1630,1641,1647,1658,1669,1675,1686,1697,
%T 1709,1715,1726,1737,1743,1754,1765,1771,1782,1793,1799,1805,1811,
%U 1822,1833,1839,1850,1861,1867,1878,1889,1895,1901,1907,1918,1929,1935,1946,1957,1963,1974,1985,1991
%N Nonleap years beginning and ending on Tuesday.
%C Gregorian calendar repeats after every 400 years because number of days in 400 years is 146097 which is a multiple of 7.
%C Noncentury years are leap years if and only if they are multiples of 4 while century years are leap years if and only if they are multiples of 400.
%C 44 occurrences in 400 years.
%C Months having Friday the 13th: September and December.
%C 365 day ordinary year: 52 Sundays, 52 Mondays, 53 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 52 Saturdays.
%H Time and Date, <a href="http://www.timeanddate.com/calendar/gregoriancalendar.html">The Gregorian calendar</a>
%H Time and Date, <a href="http://www.timeanddate.com/calendar/?year=2013">2013</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Gregorian_calendar">Gregorian calendar</a>
%t Select[Range[1583, 2600], DayOfWeek[{#, 1, 1}, Calendar > Gregorian] == Tuesday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar > Gregorian] == 365 &, 50] (* _T. D. Noe_, Apr 22 2013 *)
%K nonn
%O 1,1
%A _Aswini Vaidyanathan_, Apr 21 2013
