A362407 Numerators of the expansion of the series reversion of sin(x) + x, odd powers only.

1, 1, 1, 43, 223, 60623, 764783, 107351407, 2499928867, 596767688063, 22200786516383, 64470807442488761, 3504534741776035061, 3597207408242668198973, 268918457620309807441853, 185388032403184965693274807, 18241991360742724891839902347

Offset: 0

Author

Billy Bolton, Apr 18 2023

Keywords

• nonn
• frac

Examples

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

Crossrefs

Cf. A362406 (denominators).

Cf. A302977, A306254.

Programs

PARI

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

Formula

Conjecture: a(n) = abs(A302977(n)).