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A224945 Leap years having 53 Sundays and Mondays. 1
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

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

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 March 1 03:32 EST 2021. Contains 341732 sequences. (Running on oeis4.)