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A224939 Non-leap years beginning and ending on Monday. 0

%I

%S 1590,1601,1607,1618,1629,1635,1646,1657,1663,1674,1685,1691,1703,

%T 1714,1725,1731,1742,1753,1759,1770,1781,1787,1798,1810,1821,1827,

%U 1838,1849,1855,1866,1877,1883,1894,1900,1906,1917,1923,1934,1945,1951,1962,1973,1979,1990

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

%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: April and July.

%C 365 day ordinary year: 52 Sundays, 53 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=2007">2007</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] == Monday && 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 June 19 04:58 EDT 2021. Contains 345125 sequences. (Running on oeis4.)