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Bessel function Y_0(n) is a monotonically decreasing positive sequence.
4

%I #14 Mar 05 2021 21:45:29

%S 1,10,26,29,70,73,117,161,183,893,1603,2313,3023,3733,4443,5153,5863,

%T 6573,7283,7993,8703,9413,10123,10833,11543,12253,12963,13673,14383,

%U 15093,15803,16513,17223,17933,18643,19353,20063,20773,21483

%N Bessel function Y_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 > 9.

%F G.f.: (688*x^9 - 22*x^8 + 41*x^6 - 38*x^5 + 38*x^4 - 13*x^3 + 7*x^2 + 8*x + 1)/(x - 1)^2. (End)

%Y Cf. A046960, A046962, A046963.

%K nonn

%O 0,2

%A _Olivier Gérard_