cp's OEIS Frontend

A104241 Decimal expansion of the first zero of the solution to the differential equation cos(t)*f'(t) + sin(t)*f''(t) + (3/4)*sin(t)*f(t) = 0, f(-Pi/2) = 1, f'(-Pi/2) = 0 (negated).

%I A104241 #23 Apr 29 2023 08:09:02
%S A104241 2,2,2,0,5,6,5,6,6,7,4,7,5,8,0,6,0,9,1,8,6,1,9,9,2,1,2,9,3,3,7,6,3,3,
%T A104241 4,6,9,7,9,4,1,7,6,1,6,3,3,9,1,2,6,4,1,5,6,1,7,2,2,1,0,7,8,7,1,6,1,4,
%U A104241 7,9,4,5,0,6,0,2,5,5,1,5,7,6,7,8,6,0,6,7,2,2,5,4,3,9,4,0,5,2,2,3,3,4,5,2,9
%N A104241 Decimal expansion of the first zero of the solution to the differential equation cos(t)*f'(t) + sin(t)*f''(t) + (3/4)*sin(t)*f(t) = 0, f(-Pi/2) = 1, f'(-Pi/2) = 0 (negated).
%H A104241 Andrei Gruzinov, <a href="https://doi.org/10.1103/PhysRevLett.94.021101">Power of an axisymmetric pulsar</a>, Physical Review Letters, Vol. 94, No. 2 (2005), 021101; <a href="https://arxiv.org/abs/astro-ph/0407279">arXiv preprint</a>, arXiv:astro-ph/0407279, 2004.
%F A104241 -0.22205656674758060918619921293376334697941...
%t A104241 RealDigits[x /. FindRoot[Hypergeometric2F1[-1/4, 3/4, 1/2, Sin[x + Pi/2]^2], {x, -0.2}, WorkingPrecision -> 120], 10, 105][[1]] (* _Amiram Eldar_, Apr 29 2023 *)
%Y A104241 Cf. A104996, A104997, A105372.
%K A104241 cons,nonn
%O A104241 0,1
%A A104241 _Zak Seidov_, Apr 02 2005
%E A104241 Offset corrected by _Michel Marcus_, Nov 12 2019
%E A104241 a(53) corrected and more terms added by _Amiram Eldar_, Apr 29 2023