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Search: id:A162437
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| A162437 |
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a(1)=1, a(2)=2. Take terms a(n-1) and a(n-2), then convert to binary. Concatenate them, with either binary a(n-1) on the left and a(n-2) on the right, or with a(n-1) on the right and a(n-2) on the left such that the value of the resulting binary number is minimized. a(n) = the decimal equivalent of the resulting binary number. |
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+0
2
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| 1, 2, 5, 21, 173, 5549, 1420717, 11638517165, 24407739551034797, 419321772563920711635545517, 15107659029337673520218077770654501397966253
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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The binary representation of the first few terms: 1, 10, 101, 10101, 10101101
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MATHEMATICA
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a[1] = 1; a[2] = 2; a[n_] := Block[{a1 = IntegerDigits[ a[n - 1], 2], a2 = IntegerDigits[ a[n - 2], 2]}, Min[ FromDigits[ Join[a1, a2], 2], FromDigits[ Join[a2, a1], 2]]]; Array[a, 13] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 27 2009]
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CROSSREFS
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A162438, A005203, A111061
Sequence in context: A144271 A117261 A108021 this_sequence A007570 A025559 A072961
Adjacent sequences: A162434 A162435 A162436 this_sequence A162438 A162439 A162440
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KEYWORD
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base,nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Jul 03 2009
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EXTENSIONS
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I extended the sequence and added the Mathematica coding. Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 27 2009
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