

A116386


Number of calendar weeks in the year n (starting at n=0 for the year 2000).


1



54, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53
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OFFSET

0,1


COMMENTS

Since 365/7 = 52.14 > 52, every year has at least 53 weeks (although the first and / or the last calendar weeks might not be complete and belong to two different years). Only if a leap year begins in a Saturday (the last day of the calendar week), a year can have 54 different calendar weeks (being the first and last of only one day). Years with 54 calendar weeks are: 2000, 2028, 2056, 2084, 2124, 2152, etc. It happens 13 times in a 400 year cycle.


LINKS

Table of n, a(n) for n=0..68.
Index entries for sequences related to calendars


EXAMPLE

E.g. a(0)=54 because the year 2000 had 54 calendar weeks (since Jan 01 2000 was a Saturday and Dec 31 2000 was a Sunday)


CROSSREFS

Cf. A060512, A061251, A003786, A090651, A101312.
Sequence in context: A033374 A247897 A247900 * A107936 A252722 A326181
Adjacent sequences: A116383 A116384 A116385 * A116387 A116388 A116389


KEYWORD

nonn,easy


AUTHOR

Sergio Pimentel, Mar 15 2006


STATUS

approved



