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A224110 Easter occurrences on March 22, March 23, ..., April 25 during a 5,700,000-year Gregorian Easter cycle. 0


%S 27550,54150,81225,110200,133000,165300,186200,192850,189525,189525,

%T 192850,186200,192850,186200,192850,189525,189525,192850,186200,

%U 192850,186200,192850,189525,189525,192850,186200,192850,197400,220400,189525,162450,137750,106400,82650,42000

%N Easter occurrences on March 22, March 23, ..., April 25 during a 5,700,000-year Gregorian Easter cycle.

%C For the Gregorian calendar, the most common Easter Sunday date is the 19th of April and the least common is the 22nd of March with frequencies 3.867% and 0.483%. Among these 35 possible Easter dates there are only 16 distinct frequencies as there are sets of 6, 7, and 9 dates with equal frequencies for each date within the set (the larger the set the larger the frequency for each individual date).

%H R. H. van Gent, <a href="http://www.staff.science.uu.nl/~gent0113/easter/easter_text2b.htm">Frequency of Easter Sundays</a>.

%H Ch. Zeller, <a href="https://doi.org/10.24033/bsmf.254">Problema duplex calendarii fundamentale</a>, Bulletin de la S. M. F., tome 11 (1883), pp. 59-61.

%e In an entire Gregorian Easter cycle, Easter Sunday occurs on March 22 exactly a(1) = 27550 times, so the frequency of occurrence of Easter on March 22 over the entire cycle is calculated simply as 27550/5700000 = 0.0048333..., rounding to 0.483%. (Of course, these frequencies can vary within more-limited time periods.) The van Gent link displays these frequencies as percentages and contains similar information for the Julian calendar.

%K nonn,fini,full

%O 1,1

%A _Rick L. Shepherd_, Mar 31 2013

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Last modified September 29 16:23 EDT 2022. Contains 357090 sequences. (Running on oeis4.)