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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 (list; graph; refs; listen; history; text; internal format)
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: A137939 A033374 A247897 * A247900 A107936 A252722

Adjacent sequences:  A116383 A116384 A116385 * A116387 A116388 A116389

KEYWORD

nonn,easy

AUTHOR

Sergio Pimentel, Mar 15 2006

STATUS

approved

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Last modified October 21 11:05 EDT 2019. Contains 328294 sequences. (Running on oeis4.)