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Search: id:A116386
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| A116386 |
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Number of calendar weeks in the year n (starting at n=0 for the year 2000). |
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+0
1
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| 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; listen)
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OFFSET
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0,1
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COMMENT
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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.
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EXAMPLE
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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)
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CROSSREFS
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Cf. A060512, A061251, A003786, A090651, A101312.
Sequence in context: A096510 A137939 A033374 this_sequence A107936 A095561 A095551
Adjacent sequences: A116383 A116384 A116385 this_sequence A116387 A116388 A116389
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KEYWORD
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nonn
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AUTHOR
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Sergio Pimentel (ferdiego(AT)cox.net), Mar 15 2006
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