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Search: id:A012494
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| A012494 |
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Expansion of arctan(sin(x)). |
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+0
2
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| 1, -3, 45, -1743, 125625, -14554683, 2473184805, -579439207623, 179018972217585, -70518070842040563, 34495620120141463965, -20515677772241956573503, 14578232896601243652363945
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OFFSET
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0,2
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COMMENT
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arctan(cos(x)*tan(x))=x-3/3!*x^3+45/5!*x^5-1743/7!*x^7+125625/9!*x^9...
Absolute values are coefficients in expansion of atanh(asinh(x)).
arctanh(sinh(x)) = x + 3*x^3/3! + 45*x^5/5! + 1743*x^7/7! +...
arccot(sin(x)) = Pi/2 - x + 3*x^3/3! - 45*x^5/5! + 1743*x^7/7! -...
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CROSSREFS
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Bisection of A003704, A013208.
Cf. A101923.
Sequence in context: A144950 A144951 A079484 this_sequence A012780 A072503 A154242
Adjacent sequences: A012491 A012492 A012493 this_sequence A012495 A012496 A012497
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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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