

A156743


Month (3=March, 4=April) in which Easter occurs in Gregorian calendar year, starting with 1901.


1



4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3
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OFFSET

1,1


COMMENTS

From Rick L. Shepherd, Mar 09 2009: (Start)
Easter can never occur in March in two consecutive years. (See the Tondering link for information that was helpful in confirming this; especially, 2.13.9 "Is there a simple relationship between two consecutive Easters?" My (OpenOffice.org Calc BASIC) program found that the X8 and X9 cases mentioned there never occurred when beginning with Mar. 30th or Mar. 31st the first year.) However, Easter can occur in April in exactly 1, 2, 4, 5, 7, 8, or 10 consecutive years (as seen by examining the entire 5700000year Gregorian Easter cycle). The first year such that 10 consecutive years have the value 4 is 2856.
The <range> in the OpenOffice.org Calc spreadsheet array formula below is set to reference a set of cells containing the years of interest (Edit>Fill>Series Linear is useful for autofilling). The EASTERSUNDAY function is documented as accepting years from 1583 to 9956.
(A156743 as originally written (and extended here) should have offset 1901.) (End)


LINKS

Table of n, a(n) for n=1..105.
Claus Tondering, Frequently Asked Questions about Calendars. [From Rick L. Shepherd, Mar 09 2009]


EXAMPLE

a(1902)=3 because Easter in 1902 was in March.


MATHEMATICA

Needs["Calendar`"]; Table[ EasterSunday[year], {year, 1901, 2012}][[All, 2]] (* JeanFrançois Alcover, Sep 26 2011 *)


PROG

(Other) OpenOffice.org Calc {=MONTH(EASTERSUNDAY(<range>))} [From Rick L. Shepherd, Mar 09 2009]


CROSSREFS

Sequence in context: A088910 A010308 A200625 * A084596 A056641 A010652
Adjacent sequences: A156740 A156741 A156742 * A156744 A156745 A156746


KEYWORD

nonn


AUTHOR

J. Lowell, Feb 14 2009


EXTENSIONS

Extended by Rick L. Shepherd, Mar 09 2009
Minor edits by Jon E. Schoenfield, Feb 19 2014


STATUS

approved



