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.

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

This page as a plain text file.
%I A362406 #27 Sep 03 2023 10:17:56
%S A362406 2,96,1920,1290240,92897280,326998425600,51011754393600,
%T A362406 85699747381248000,23310331287699456000,63777066403145711616000,
%U A362406 26786367889321198878720000,867449737727777704488468480000,520469842636666622693081088000000,5845917272495039506088686780416000000
%N A362406 Denominators of the expansion of the series reversion of sin(x) + x, odd powers only.
%F A362406 Conjecture: a(n) = 2*A306254(n)/(4^(n+1)).
%e A362406 f^-1(x) = (1/2)*x + (1/96)*x^3 + (1/1920)*x^5 + (43/1290240)*x^7 + ...
%o A362406 (PARI) a(n) = denominator(polcoef(serreverse(sin(x + O(x^(2*n))) + x), 2*n-1)) \\ _Andrew Howroyd_, Apr 18 2023
%Y A362406 Cf. A362407 (numerators).
%Y A362406 Cf. A302977, A306254.
%K A362406 nonn,frac
%O A362406 0,1
%A A362406 _Billy Bolton_, Apr 18 2023