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Search: id:A011765
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| A011765 |
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Period 4: repeat 0,0,0,1. |
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+0
6
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| 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Arises in connection with leap years, years of U.S. Presidential elections, Olympic Games, etc.
Note that leap years define a sequence with period length 400, unlike A121262 which has period length 4. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 19 2008]
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FORMULA
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G.f.: x^4/(1-x^4). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 23 2008]
a(n)=(1/24)*{7*(n mod 4)-5*[(n+1) mod 4]+[(n+2) mod 4]+[(n+3) mod 4]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Feb 06 2009]
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CROSSREFS
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A121262 is another version.
Sequence in context: A111900 A157228 A105563 this_sequence A129251 A144602 A160351
Adjacent sequences: A011762 A011763 A011764 this_sequence A011766 A011767 A011768
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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