cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A362407 #21 Sep 03 2023 10:18:43
%S A362407 1,1,1,43,223,60623,764783,107351407,2499928867,596767688063,
%T A362407 22200786516383,64470807442488761,3504534741776035061,
%U A362407 3597207408242668198973,268918457620309807441853,185388032403184965693274807,18241991360742724891839902347
%N A362407 Numerators of the expansion of the series reversion of sin(x) + x, odd powers only.
%F A362407 Conjecture: a(n) = abs(A302977(n)).
%e A362407 f^-1(x) = (1/2)*x + (1/96)*x^3 + (1/1920)*x^5 + (43/1290240)*x^7 + ...
%o A362407 (PARI) a(n) = numerator(polcoef(serreverse(sin(x + O(x^(2*n))) + x), 2*n-1)) \\ _Andrew Howroyd_, Apr 18 2023
%Y A362407 Cf. A362406 (denominators).
%Y A362407 Cf. A302977, A306254.
%K A362407 nonn,frac
%O A362407 0,4
%A A362407 _Billy Bolton_, Apr 18 2023