A046961 -id:A046961 - cp's OEIS frontend

A046960 Bessel function J_0(n) is a monotonically decreasing positive sequence.

1, 2, 6, 12, 21, 37, 40, 84, 128, 172, 882, 1592, 2302, 3012, 3722, 4432, 5142, 5852, 6562, 7272, 7982, 8692, 9402, 10112, 10822, 11532, 12242, 12952, 13662, 14372, 15082, 15792, 16502, 17212, 17922, 18632, 19342, 20052, 20762, 21472

Offset: 0

Olivier Gérard

nonn

Index entries for sequences related to Bessel functions or polynomials

Cf. A046961, A046962, A046963.

Conjectures from Chai Wah Wu, Mar 05 2021: (Start)
a(n) = 2*a(n-1) - a(n-2) for n > 10.
G.f.: (666*x^10 + 41*x^7 - 13*x^6 + 7*x^5 + 3*x^4 + 2*x^3 + 3*x^2 + 1)/(x - 1)^2. (End)

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

Original entry on oeis.org

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

Olivier Gérard

nonn

Index entries for sequences related to Bessel functions or polynomials

Cf. A046960, A046961, A046963.

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)

A046963 Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.

Original entry on oeis.org

1, 4, 26, 29, 51, 73, 95, 117, 139, 161, 183, 538, 893, 1248, 1603, 1958, 2313, 2668, 3023, 3378, 3733, 4088, 4443, 4798, 5153, 5508, 5863, 6218, 6573, 6928, 7283, 7638, 7993, 8348, 8703, 9058, 9413, 9768, 10123, 10478, 10833, 11188

Offset: 0

Olivier Gérard

nonn

Index entries for sequences related to Bessel functions or polynomials

Cf. A046960, A046961, A046962.

Conjectures from Chai Wah Wu, Mar 05 2021: (Start)
a(n) = 2*a(n-1) - a(n-2) for n > 11.
G.f.: (333*x^11 + 19*x^4 - 19*x^3 + 19*x^2 + 2*x + 1)/(x - 1)^2. (End)

A344074 Decimal expansion of Bessel Y_0(1).

Original entry on oeis.org

0, 8, 8, 2, 5, 6, 9, 6, 4, 2, 1, 5, 6, 7, 6, 9, 5, 7, 9, 8, 2, 9, 2, 6, 7, 6, 6, 0, 2, 3, 5, 1, 5, 1, 6, 2, 8, 2, 7, 8, 1, 7, 5, 2, 3, 0, 9, 0, 6, 7, 5, 5, 4, 6, 7, 1, 1, 0, 4, 3, 8, 4, 7, 6, 1, 1, 9, 9, 9, 7, 8, 9, 3, 2, 3, 5, 1, 3, 3, 7, 1, 3, 0, 1, 0, 7, 7

Offset: 0

Sean A. Irvine, May 08 2021

			0.08825696421567695798292676...

Index entries for sequences related to Bessel functions or polynomials

Cf. A334380, A046961.

Maple
```
Digits:=100; evalf(BesselY(0,1));
```

Join[{0},First[RealDigits[N[BesselY[0,1],86]]]] (* Stefano Spezia, May 09 2021 *)

bessely(0, 1) \\ Michel Marcus, May 09 2021

cp's OEIS Frontend

A046960 Bessel function J_0(n) is a monotonically decreasing positive sequence.

Views

Author

Keywords

Links

Crossrefs

Formula

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

Views

Author

Keywords

Links

Crossrefs

Formula

A046963 Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.

Views

Author

Keywords

Links

Crossrefs

Formula

A344074 Decimal expansion of Bessel Y_0(1).

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Maple

Mathematica

PARI