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).

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, 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, 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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Andrei Gruzinov, Power of an axisymmetric pulsar, Physical Review Letters, Vol. 94, No. 2 (2005), 021101; arXiv preprint, arXiv:astro-ph/0407279, 2004.

Formula

-0.22205656674758060918619921293376334697941...

Mathematica

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 *)

Crossrefs

Cf. A104996, A104997, A105372.

Sequence in context: A124342 A324244 A082835 * A011139 A136663 A165490

Adjacent sequences: A104238 A104239 A104240 * A104242 A104243 A104244

Keyword

cons,nonn

Author

Zak Seidov, Apr 02 2005

Extensions

Offset corrected by Michel Marcus, Nov 12 2019

a(53) corrected and more terms added by Amiram Eldar, Apr 29 2023

Status

approved