A046960 - OEIS

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

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..39.

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 > 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)

CROSSREFS

Cf. A046961, A046962, A046963.

Sequence in context: A022450 A011892 A062482 * A126428 A187490 A147623

Adjacent sequences: A046957 A046958 A046959 * A046961 A046962 A046963

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved