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Search: id:A079037
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| A079037 |
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a(0)=1; a(n) is the smallest integer > a(n-1) such that sin(a(n)) is closer to an integer (here 0 or -1) than sin(a(n-1)). |
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1
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| 1, 3, 5, 11, 344, 1054, 1764, 2474, 3184, 3894, 4604, 5314, 6024, 6734, 7444, 8154, 8864, 9574, 10284, 10994, 11704, 12414, 13124, 13834, 14544, 15254, 15964, 16674, 17384, 18094, 18804, 19514, 20224, 20934, 21644, 22354, 23064, 23774, 24484
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OFFSET
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0,2
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EXAMPLE
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sin(1)=0.84147..., sin(2)=0.90929..., sin(3)=0.14112..., hence a(2)=3
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PROGRAM
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(PARI) x=1; y=1; a(n)=if(n<0, 0, b=y+1; while(frac(sin(b))>frac(sin(x)), b++); x=b; y=b; b)
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CROSSREFS
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Cf. A046947 ( for abs(sin(x)) ).
Sequence in context: A083841 A062601 A038198 this_sequence A101315 A066541 A087122
Adjacent sequences: A079034 A079035 A079036 this_sequence A079038 A079039 A079040
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 01 2003
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