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Search: id:A080137
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| A080137 |
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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=2. |
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+0
6
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| 1, 2, 4, 7, 10, 12, 40, 139, 172, 183, 527, 538, 882, 11532, 25022, 25377, 25732, 26087, 286602, 547117, 859806, 1120321, 1433010, 2006214, 3413137, 5132749, 5705953, 10552100, 15971451, 21390802, 26810153
(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=2; 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, A080138, A080139, A080140.
Sequence in context: A101359 A007303 A102988 this_sequence A102933 A122019 A033627
Adjacent sequences: A080134 A080135 A080136 this_sequence A080138 A080139 A080140
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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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