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 A224945 Leap years having 53 Sundays and Mondays. 7
 1584, 1612, 1640, 1668, 1696, 1708, 1736, 1764, 1792, 1804, 1832, 1860, 1888, 1928, 1956, 1984, 2012, 2040, 2068, 2096, 2108, 2136, 2164, 2192, 2204, 2232, 2260, 2288, 2328, 2356, 2384, 2412, 2440, 2468, 2496, 2508, 2536, 2564, 2592, 2604, 2632, 2660, 2688, 2728, 2756, 2784 (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. 15 occurrences in 400 years. Months having Friday the 13th: January, April and July. February 29th falls on Wednesday. 366 day leap year: 53 Sundays, 53 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 52 Saturdays. LINKS Table of n, a(n) for n=1..46. Time and Date, The Gregorian calendar Time and Date, 2012 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, 0, 0, 1, -1). MATHEMATICA Select[Range[1583, 2800], DayOfWeek[{#, 1, 1}, Calendar -> Gregorian] == Sunday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar -> Gregorian] == 366 &, 50] (* T. D. Noe, Apr 22 2013 *) Select[Range[1583, 3000], LeapYearQ[{#}]&&DayName[{#, 1, 1}]==Sunday&] (* Harvey P. Dale, Jul 04 2018 *) CROSSREFS Cf. A224946, A224947, A224948, A224949, A224950, A224951. Sequence in context: A224944 A222164 A242539 * A306313 A053170 A237916 Adjacent sequences: A224942 A224943 A224944 * A224946 A224947 A224948 KEYWORD nonn AUTHOR Aswini Vaidyanathan, Apr 21 2013 STATUS approved

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Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)