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A224940 Non-leap years beginning and ending on Tuesday. 0

%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 Non-leap 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 Non-century 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/gregorian-calendar.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

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Last modified May 18 13:38 EDT 2021. Contains 343995 sequences. (Running on oeis4.)