A362406 Denominators of the expansion of the series reversion of sin(x) + x, odd powers only.

2, 96, 1920, 1290240, 92897280, 326998425600, 51011754393600, 85699747381248000, 23310331287699456000, 63777066403145711616000, 26786367889321198878720000, 867449737727777704488468480000, 520469842636666622693081088000000, 5845917272495039506088686780416000000

Offset

0,1

Links

Andrew Howroyd, Table of n, a(n) for n = 0..100

Formula

Conjecture: a(n) = 2*A306254(n)/(4^(n+1)).

Example

f^-1(x) = (1/2)*x + (1/96)*x^3 + (1/1920)*x^5 + (43/1290240)*x^7 + ...

Prog

(PARI) a(n) = denominator(polcoef(serreverse(sin(x + O(x^(2*n+2))) + x), 2*n+1)) \\ Andrew Howroyd, Apr 18 2023

Crossrefs

Cf. A362407 (numerators).

Cf. A302977, A306254.

Sequence in context: A281029 A282436 A069121 * A157065 A123115 A119696

Adjacent sequences: A362403 A362404 A362405 * A362407 A362408 A362409

Keyword

nonn,frac

Author

Billy Bolton, Apr 18 2023

Status

approved