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Numerators of the expansion of the series reversion of sin(x) + x, odd powers only.
1

%I #21 Sep 03 2023 10:18:43

%S 1,1,1,43,223,60623,764783,107351407,2499928867,596767688063,

%T 22200786516383,64470807442488761,3504534741776035061,

%U 3597207408242668198973,268918457620309807441853,185388032403184965693274807,18241991360742724891839902347

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

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

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

%o (PARI) a(n) = numerator(polcoef(serreverse(sin(x + O(x^(2*n))) + x), 2*n-1)) \\ _Andrew Howroyd_, Apr 18 2023

%Y Cf. A362406 (denominators).

%Y Cf. A302977, A306254.

%K nonn,frac

%O 0,4

%A _Billy Bolton_, Apr 18 2023