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%I #18 Jul 26 2023 18:01:50
%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>
%H <a href="/index/Ca#calendar">Index entries for sequences related to calendars</a>
%H <a href="/index/Rec#order_44">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1).
%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 *)
%t Select[Range[1583,2500],!LeapYearQ[{#}]&&DayName[{#,1,1}]==DayName[{#,12,31}]==Monday&](* _Ray Chandler_, Jul 26 2023, Version 10, after _Harvey P.Dale_ at A224942 *)
%Y Cf. A224938, A224940, A224941, A224942, A224943, A224944.
%K nonn
%O 1,1
%A _Aswini Vaidyanathan_, Apr 21 2013
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