A046962 Bessel function |J_0(n)| is a monotonically decreasing positive sequence.

1, 2, 5, 6, 9, 12, 15, 18, 37, 40, 62, 84, 106, 128, 150, 172, 527, 882, 1237, 1592, 1947, 2302, 2657, 3012, 3367, 3722, 4077, 4432, 4787, 5142, 5497, 5852, 6207, 6562, 6917, 7272, 7627, 7982, 8337, 8692, 9047, 9402, 9757, 10112, 10467

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Index entries for sequences related to Bessel functions or polynomials

Crossrefs

Cf. A046960, A046961, A046963.

Formula

Conjectures from Chai Wah Wu, Mar 05 2021: (Start)

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

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)