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Search: id:A101924
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| A101924 |
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Numerators of expansion of 2^(-1/2) * arccsch(cos(x)). |
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+0
2
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| 1, 7, 109, 3163, 166201, 14952367, 2002052389, 353291166403, 77829008955121, 21170264082173527, 7106489649576530269, 2913186117837522604843, 1426879448953133350342441, 816516326741659045770111487
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OFFSET
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1,2
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COMMENT
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Odd coefficients are zero, denominators are 2^n.
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FORMULA
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acsch(cos(x)) = log(sqrt(2)+1) + 1/sqrt(2) * [ -1/2*x^2/2! + 7/4*x^4/4! + 109/8*x^6/6! + 3163/16*x^8/8! +...].
asech(cos(x)) = Pi/2 - log(sqrt(2)+1) - 1/sqrt(2) * [ -1/2*x^2/2! + 7/4*x^4/4! + 109/8*x^6/6! + 3163/16*x^8/8! +...].
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CROSSREFS
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Cf. A101922, A012495.
Sequence in context: A096498 A123804 A116875 this_sequence A112463 A009471 A061233
Adjacent sequences: A101921 A101922 A101923 this_sequence A101925 A101926 A101927
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KEYWORD
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nonn
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AUTHOR
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Ralf Stephan, Dec 27 2004
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