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 A224951 Leap years having 53 Saturdays and Sundays. 7
 1600, 1628, 1656, 1684, 1724, 1752, 1780, 1820, 1848, 1876, 1916, 1944, 1972, 2000, 2028, 2056, 2084, 2124, 2152, 2180, 2220, 2248, 2276, 2316, 2344, 2372, 2400, 2428, 2456, 2484, 2524, 2552, 2580, 2620, 2648, 2676, 2716, 2744, 2772 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Gregorian calendar repeats after every 400 years because number of days in 400 years is 146097 which is a multiple of 7. 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. 13 occurrences in 400 years. Months having Friday the 13th: October. February 29th falls on Tuesday. 366 day leap year: 53 Sundays, 52 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 53 Saturdays. LINKS Table of n, a(n) for n=1..39. Time and Date, The Gregorian calendar Time and Date, 2000 Wikipedia, Gregorian calendar Index entries for sequences related to calendars Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1). MATHEMATICA Needs["Calendar`"]; Select[Range[1583, 2800], DayOfWeek[{#, 1, 1}, Calendar -> Gregorian] == Saturday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar -> Gregorian] == 366 &, 50] (* T. D. Noe, Apr 22 2013 *) Select[Range[1583, 3000], LeapYearQ[{#}]&&DayName[{#, 1, 1}]==Saturday&] (* Ray Chandler, Jul 26 2023, v9 or later, after _Harvey P.Dale_ at A224945 *) CROSSREFS Cf. A224945, A224946, A224947, A224948, A224949, A224950. Sequence in context: A260245 A282158 A252110 * A260499 A309562 A043412 Adjacent sequences: A224948 A224949 A224950 * A224952 A224953 A224954 KEYWORD nonn AUTHOR Aswini Vaidyanathan, Apr 21 2013 STATUS approved

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Last modified August 8 02:48 EDT 2024. Contains 375018 sequences. (Running on oeis4.)