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A224948
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Leap years having 53 Wednesdays and Thursdays.
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0
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1592, 1620, 1648, 1676, 1716, 1744, 1772, 1812, 1840, 1868, 1896, 1908, 1936, 1964, 1992, 2020, 2048, 2076, 2116, 2144, 2172, 2212, 2240, 2268, 2296, 2308, 2336, 2364, 2392, 2420, 2448, 2476, 2516, 2544, 2572, 2612, 2640, 2668, 2696, 2708, 2736, 2764, 2792
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OFFSET
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1,1
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COMMENTS
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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.
14 occurrences in 400 years.
Months having Friday the 13th: March and November.
February 29th falls on Saturday.
366 day leap year: 52 Sundays, 52 Mondays, 52 Tuesdays, 53 Wednesdays, 53 Thursdays, 52 Fridays, 52 Saturdays.
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LINKS
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Table of n, a(n) for n=1..43.
Time and Date, The Gregorian calendar
Time and Date, 1992
Wikipedia, Gregorian calendar
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MATHEMATICA
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Select[Range[1583, 2800], DayOfWeek[{#, 1, 1}, Calendar -> Gregorian] == Wednesday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar -> Gregorian] == 366 &, 50] (* T. D. Noe, Apr 22 2013 *)
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CROSSREFS
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Sequence in context: A224939 A049520 A252085 * A238075 A250959 A224943
Adjacent sequences: A224945 A224946 A224947 * A224949 A224950 A224951
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KEYWORD
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nonn
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AUTHOR
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Aswini Vaidyanathan, Apr 21 2013
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STATUS
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approved
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