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.
%I A068111 #22 Jan 17 2025 03:36:31
%S A068111 1,1,3,5,35,7,77,143,143,2431,46189,4199,96577,7429,7429,215441,
%T A068111 6678671,392863,392863,765049,765049,31367009,1348781387,58642669,
%U A068111 2756205443,2756205443,2756205443,146078888479,146078888479,5037203051,297194980009,584803025179,584803025179
%N A068111 Numerators of coefficients in J0(i*sqrt(x))^2, where J0 denotes the ordinary Bessel function of order 0.
%C A068111 The product of the odd primes between n+1 and 2n. inclusive. - _T. D. Noe_, Jan 24 2007
%H A068111 T. D. Noe, <a href="/A068111/b068111.txt">Table of n, a(n) for n=0..250</a>
%F A068111 J0(i*sqrt(y))^2 = Sum_{n>=0} (2n)!/(n!)^4/2^(2n)*y^n.
%e A068111 Fractions begin with 1, 1/2, 3/32, 5/576, 35/73728, 7/409600, 77/176947200, 143/17340825600, 143/1183800360960, 2431/1725980926279680, 46189/3451961852559360000, 4199/39779750872350720000, ...
%t A068111 Numerator[CoefficientList[Series[BesselJ[0, I*Sqrt[x]]^2, {x, 0, 30}], x]] (* _Amiram Eldar_, Jan 17 2025 *)
%Y A068111 Cf. A068110 (denominators).
%K A068111 easy,frac,nonn
%O A068111 0,3
%A A068111 _Benoit Cloitre_, Mar 21 2002