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Search: id:A080136
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| A080136 |
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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=1. |
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+0
6
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| 1, 2, 4, 5, 8, 11, 33, 55, 77, 99, 121, 322, 344, 366, 388, 699, 39394, 49689, 51109, 51819, 52174, 52529, 156167, 156522, 260515, 364508, 364863, 573204, 885893, 1406923, 1719612, 4846147, 5992555, 10265498, 11411906, 15684849, 21104200
(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=1; z=cos(x)^2; a=1; for(n=1, 45, 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. A080137, A080138, A080139, A080140.
Sequence in context: A060773 A074824 A039867 this_sequence A080033 A007379 A080588
Adjacent sequences: A080133 A080134 A080135 this_sequence A080137 A080138 A080139
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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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Extended with PARI program by Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 04 2003
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