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 A224942 Non-leap years beginning and ending on Thursday. 0

%I

%S 1587,1598,1609,1615,1626,1637,1643,1654,1665,1671,1682,1693,1699,

%T 1705,1711,1722,1733,1739,1750,1761,1767,1778,1789,1795,1801,1807,

%U 1818,1829,1835,1846,1857,1863,1874,1885,1891,1903,1914,1925,1931,1942,1953,1959,1970,1981,1987,1998

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

%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: February, March and November.

%C 365 day ordinary year: 52 Sundays, 52 Mondays, 52 Tuesdays, 52 Wednesdays, 53 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=2009">2009</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] == Thursday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar -> Gregorian] == 365 &, 50] (* _T. D. Noe_, Apr 22 2013 *)

%t Select[Range[1583,2600],!LeapYearQ[{#}]&&DayName[{#,1,1}]==DayName[ {#,12,31}] == Thursday&] (* _Harvey P. Dale_, May 06 2022 *)

%K nonn

%O 1,1

%A _Aswini Vaidyanathan_, Apr 21 2013

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Last modified March 30 04:12 EDT 2023. Contains 361603 sequences. (Running on oeis4.)