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Search: id:A125028
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| A125028 |
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a(1)=2, a(n)=2*a(n-1)-floor(sqrt(a(n-1))). |
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+0 1
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| 2, 3, 5, 8, 14, 25, 45, 84, 159, 306, 595, 1166, 2298, 4549, 9031, 17967, 35800, 71411, 142555, 284733, 568933, 1137112, 2273158, 4544809, 9087487, 18171960, 36339658, 72673288, 145338052, 290664049, 581311050
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OFFSET
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1,1
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COMMENT
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For any a(1)>1, a(n)/a(n-1)=>2; for large n's, a(n)=>c*2^n with c depending on a(1)>1; for a(1)=2 c=0.270675.
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MATHEMATICA
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NestList[2#-Floor[Sqrt[ # ]]&, 2, 30]
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CROSSREFS
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Sequence in context: A107480 A128021 A036241 this_sequence A119262 A062178 A065955
Adjacent sequences: A125025 A125026 A125027 this_sequence A125029 A125030 A125031
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Nov 16 2006
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