A359554 Denominator of the coefficient of x^(2n+1) in the Taylor series expansion of sin(sin(x)).

1, 3, 10, 315, 2520, 49896, 97297200, 638512875, 126309456000, 47517617347200, 2934911659680000, 105192125402364000, 1178623253808000000, 1329207696584271504000000, 77094046401887747232000000, 10455880043256025718340000000, 6973521679375808310673920000000

Offset

0,2

Comments

Numerators are A359553, see there for details.

Links

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.

Formula

a(n) = denominator of A003712(n)/(2n+1)!.

Prog

(PARI) a_vector(len) = apply(denominator, Vec(substpol(sin(sin(Ser('x, , 2*len)))/'x, 'x^2, 'x)));

Crossrefs

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

Keyword

sign,frac,easy

Author

Kevin Ryde, Jan 11 2023

Status

approved