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Search: id:A123560
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| A123560 |
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a_n is the smallest integer such that 1/a_1^2+1/a_2^2+...+1/a_n-1^2+1/a_n^2 is less than e. |
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+0
1
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| 1, 1, 2, 2, 3, 4, 5, 15, 67, 535, 8986, 912849, 1662587477, 81083409799344, 651628371908007046307, 17425286333232464262345491287814, 67473400772659322911375035883722405962101960016
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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a_n = ceil(sqrt(e-sum(i=1 to n-1, 1/a_i^2)))
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EXAMPLE
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a(4) = 2 because the first three terms of the sequence are 1,1,2 and 2 is the smallest integer k such that that 1/1^2 + 1/1^2 + 1/2^2 + 1/k^2 < e.
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PROGRAM
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(PARI) l(x)=ceil(sqrt(1/x)); k=exp(1); for(T=1, 50, print(l(k)); k=k-1/l(k)^2)}
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CROSSREFS
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Adjacent sequences: A123557 A123558 A123559 this_sequence A123561 A123562 A123563
Sequence in context: A116676 A100483 A014535 this_sequence A060407 A074077 A078381
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KEYWORD
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nonn
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AUTHOR
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Hauke Worpel (hw1(AT)email.com), Nov 11 2006
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