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A224938 Non-leap years beginning and ending on Sunday. 0

%I

%S 1589,1595,1606,1617,1623,1634,1645,1651,1662,1673,1679,1690,1702,

%T 1713,1719,1730,1741,1747,1758,1769,1775,1786,1797,1809,1815,1826,

%U 1837,1843,1854,1865,1871,1882,1893,1899,1905,1911,1922,1933,1939,1950,1961,1967,1978,1989,1995

%N Non-leap years beginning and ending on Sunday.

%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 43 occurrences in 400 years.

%C Months having Friday the 13th: January and October.

%C 365 day ordinary year: 53 Sundays, 52 Mondays, 52 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=2006">2006</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] == Sunday && 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 April 11 00:03 EDT 2021. Contains 342877 sequences. (Running on oeis4.)