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

27550, 54150, 81225, 110200, 133000, 165300, 186200, 192850, 189525, 189525, 192850, 186200, 192850, 186200, 192850, 189525, 189525, 192850, 186200, 192850, 186200, 192850, 189525, 189525, 192850, 186200, 192850, 197400, 220400, 189525, 162450, 137750, 106400, 82650, 42000

Offset

1,1

Comments

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).

Links

Table of n, a(n) for n=1..35.

R. H. van Gent, Frequency of Easter Sundays.

Ch. Zeller, Problema duplex calendarii fundamentale, Bulletin de la S. M. F., tome 11 (1883), pp. 59-61.

Example

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.

Crossrefs

Sequence in context: A236503 A251437 A206364 * A251958 A366491 A025298

Adjacent sequences: A224107 A224108 A224109 * A224111 A224112 A224113

Keyword

nonn,fini,full

Author

Rick L. Shepherd, Mar 31 2013

Status

approved