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A359554
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Denominator of the coefficient of x^(2n+1) in the Taylor series expansion of sin(sin(x)).
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3
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1, 3, 10, 315, 2520, 49896, 97297200, 638512875, 126309456000, 47517617347200, 2934911659680000, 105192125402364000, 1178623253808000000, 1329207696584271504000000, 77094046401887747232000000, 10455880043256025718340000000, 6973521679375808310673920000000
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OFFSET
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0,2
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COMMENTS
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Numerators are A359553, see there for details.
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LINKS
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Kevin Ryde, Table of n, a(n) for n = 0..220
Christopher Towse, Iteration of Sine and Related Power Series, Mathematics Magazine, volume 87, number 5, December 2014, pages 338-349.
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FORMULA
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a(n) = denominator of A003712(n)/(2n+1)!.
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PROG
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(PARI) a_vector(len) = apply(denominator, Vec(substpol(sin(sin(Ser('x, , 2*len)))/'x, 'x^2, 'x)));
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CROSSREFS
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Cf. A359553 (numerators), A003712 (e.g.f. sin(sin(x))).
Sequence in context: A308657 A156193 A119035 * A004100 A349894 A103156
Adjacent sequences: A359551 A359552 A359553 * A359555 A359556 A359557
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KEYWORD
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sign,frac,easy
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AUTHOR
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Kevin Ryde, Jan 11 2023
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STATUS
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approved
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