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Search: id:A080694
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| A080694 |
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Let u(1)=u(2)=1 and u(k)=abs(u(k-1)-u(k-2)-n); sequence gives length of period of u(k). |
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+0
1
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| 1, 18, 4, 18, 18, 48, 28, 54, 8, 72, 26, 36, 42, 36, 36, 24, 24, 48, 10, 162, 52, 84, 114, 192, 24, 246, 88, 30, 30, 48, 168, 138, 32, 126, 98, 312, 126, 222, 100, 228, 16, 384, 80, 258, 120, 192, 26, 360, 20, 300, 16, 360, 178, 180, 430, 390, 32, 162, 170, 192, 42, 306
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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u(k) is periodic for any n - see Reble link.
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LINKS
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Don Reble, On the wholeness of Sloane's A080694
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EXAMPLE
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When n=3, {u(k)} sequence is 1, 1, 3, 1, 5, 1, 7, 3, 7, 1, 9, 5, 7, 1, 9, 5, 7, 1, 9, 5, 7, 1, ... with period (7, 1, 9, 5) of length 4, hence a(3)=4. If n=7 the period of u(k) is (19, 7, 19, 5, 21, 9, 19, 3, 23, 13, 17, 3, 21, 11, 17, 1, 23, 15, 15, 7, 15, 1, 21, 13, 15, 5, 17, 5) of length 28.
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CROSSREFS
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Sequence in context: A014974 A008575 A059654 this_sequence A040314 A160486 A040312
Adjacent sequences: A080691 A080692 A080693 this_sequence A080695 A080696 A080697
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 03 2003
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EXTENSIONS
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Corrected and extended by Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 07 2003
More terms from Don Reble (djr(AT)nk.ca), Mar 08 2003
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