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

0,2

Links

Table of n, a(n) for n=0..44.

Index entries for sequences related to Bessel functions or polynomials

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)

Crossrefs

Cf. A046960, A046961, A046963.

Sequence in context: A033292 A090500 A050487 * A022486 A349895 A267700

Adjacent sequences: A046959 A046960 A046961 * A046963 A046964 A046965

Keyword

nonn

Author

Olivier Gérard

Status

approved