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Search: id:A084798
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| A084798 |
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Least integer such that x^(n+1)/(ceil(x^n) + a(n)) monotonically decreases to 1, where x=2.30553839092543... |
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+0
2
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| 1, 2, 6, 15, 36, 84, 195, 451, 1041, 2402, 5539, 12772, 29447, 67893, 156531, 360889, 832045, 1918313, 4422746, 10196812, 23509143, 54201233, 124963024, 288107051, 664241868, 1531435129, 3530782484, 8140354569, 18767899975, 43270113911
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OFFSET
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0,2
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COMMENT
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x=2.30553839092543... is the unique value at which the limit is unity: limit x^(n+1)/(ceil(x^n) + a(n)) -> 1; a(n) ~ (x-1)*x^n.
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FORMULA
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a(0)=1, a(n+1) = ceil( x*a(n) + x*ceil(x^n) - ceil(x^(n+1)) ), where x=2.30553839092543...
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CROSSREFS
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Sequence in context: A136302 A116404 A084860 this_sequence A017923 A018018 A030009
Adjacent sequences: A084795 A084796 A084797 this_sequence A084799 A084800 A084801
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 06 2003
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