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Search: id:A012500
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| A012500 |
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arctan(cos(x)*atan(x))=x-7/3!*x^3+173/5!*x^5-11779/7!*x^7... |
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+0
1
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| 1, -7, 173, -11779, 1474969, -296068991, 87094091589, -35308668668155, 18872654969343537, -12860552599622997751, 10882609077370643446493, -11195876625633675125480947, 13761866805554489099492092361
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OFFSET
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0,2
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FORMULA
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E.g.f.: atan(cos(x)*atan(x)) = Sum_{n>=0} a(n)*x^(2*n+1)/(2*n+1)!.
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PROGRAM
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(PARI) a(n)=local(y); if(n<0, 0, y=x+x^2*O(x^(2*n)); (2*n+1)!*polcoeff(atan(cos(y)*atan(y)), 2*n+1))
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CROSSREFS
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Sequence in context: A113562 A157203 A075599 this_sequence A094257 A162082 A152930
Adjacent sequences: A012497 A012498 A012499 this_sequence A012501 A012502 A012503
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (dml(AT)hpfrcu03.france.hp.com)
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