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Search: id:A133335
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| A133335 |
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a(3n) = 3a(3n-1)-3a(3n-2)+2a(3n-3), a(3n+1) = 3a(3n)-3a(3n-1)+2a(3n-2), a(3n+2) = 3a(3n+1)-3a(3n), a(0) = 1, a(1) = 2, a(2) = 3. |
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+0
1
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| 1, 2, 3, 5, 10, 15, 25, 50, 75, 125, 250, 375, 625, 1250, 1875, 3125, 6250, 9375, 15625, 31250, 46875, 78125, 156250, 234375, 390625, 781250, 1171875, 1953125, 3906250, 5859375, 9765625, 19531250
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(0) = 1, a(1) = 2, for n >= 3: a(n-1) < a(n) = natural numbers such that (a(n-2)+a(n-1)+a(n))*a(n-1)/(a(n-2)*a(n)) are integers m > 1. Corresponding values of m for n>=3: 4,3,3,4,3,3,4,3,3,4,3,3,4,3,3,4,3,3,4,3,3,4,3,3,4,3,3,4,3,3,4,... a(3k) = a(3k-1) + a(3k-2), a(3k+1) = 2*a(3k), a(3k+2) = a(3k+1) + a(3k) for k >= 1. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Nov 26 2009]
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CROSSREFS
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Sequence in context: A043868 A048329 A004691 this_sequence A062925 A118728 A062860
Adjacent sequences: A133332 A133333 A133334 this_sequence A133336 A133337 A133338
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KEYWORD
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nonn,new
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Oct 19 2007
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EXTENSIONS
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More terms from a(15). Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Nov 26 2009
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