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Search: id:A080140
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| A080140 |
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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=(2/3). |
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+0
6
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| 1, 2, 3, 7, 12, 16, 21, 26, 40, 73, 106, 139, 172, 205, 238, 271, 417, 516, 549, 893, 1237, 1581, 1958, 2302, 3023, 3367, 4088, 10822, 20407, 25732, 26797, 78261, 182254, 338776, 442769, 599291, 859806, 1120321, 1380836, 2318903, 4559545, 6279157
(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=(2/3); 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. A080136, A080137, A080138, A080139.
Sequence in context: A066749 A046480 A137767 this_sequence A019568 A128458 A066733
Adjacent sequences: A080137 A080138 A080139 this_sequence A080141 A080142 A080143
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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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