A046962 - OEIS

%I #14 Mar 05 2021 21:45:35

%S 1,2,5,6,9,12,15,18,37,40,62,84,106,128,150,172,527,882,1237,1592,

%T 1947,2302,2657,3012,3367,3722,4077,4432,4787,5142,5497,5852,6207,

%U 6562,6917,7272,7627,7982,8337,8692,9047,9402,9757,10112,10467

%N Bessel function |J_0(n)| is a monotonically decreasing positive sequence.

%H <a href="/index/Be#Bessel">Index entries for sequences related to Bessel functions or polynomials</a>

%F Conjectures from _Chai Wah Wu_, Mar 05 2021: (Start)

%F a(n) = 2*a(n-1) - a(n-2) for n > 16.

%F G.f.: (333*x^16 + 19*x^10 - 16*x^9 + 16*x^8 + 2*x^4 - 2*x^3 + 2*x^2 + 1)/(x - 1)^2. (End)

%Y Cf. A046960, A046961, A046963.

%K nonn

%O 0,2

%A _Olivier Gérard_