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Search: id:A080138
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| A080138 |
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Least positive integer multiples of angle x such that their direction cosines form a unit vector: sum(k>0, cos(a(k)*x)^2)=1, where a(1)=1 and x=3. |
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+0
6
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| 1, 11, 12, 33, 100, 122, 144, 233, 344, 477, 588, 832, 943, 1187, 2008, 15853, 16563, 17273, 121621, 191068, 260515, 503757, 573204, 955340, 1337476, 1719612, 2101748, 3317603, 4464011, 4846147, 5228283, 5610419, 10647634, 16066985
(list; graph; listen)
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OFFSET
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1,2
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PROGRAM
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(PARI) x=3; z=cos(x)^2; a=1; for(n=1, 35, b=a+1; while(z+cos(b*x)^2>1, b++); z=z+cos(b*x)^2; a=b; print1(b, ", "))
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CROSSREFS
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Cf. A080136, A080137, A080139, A080140.
Sequence in context: A136433 A061760 A075559 this_sequence A041252 A041250 A041254
Adjacent sequences: A080135 A080136 A080137 this_sequence A080139 A080140 A080141
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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), Jan 30 2003
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EXTENSIONS
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Corrected and extended with PARI program by Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 04 2003
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