A374359 a(1) = 2, a(n) = 5 for n > 1.

2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

Offset: 1

Author

Stefano Spezia, Jul 06 2024

Keywords

• nonn
• cofr
• cons
• easy
• less

Comments

Decimal expansion of 23/9, which is an approximation of the 5th root of 109 (A374357).

Simple continued fraction expansion of (1 + sqrt(29))/14 = (1 + A010484)/14.

Examples

			2.555555555555555555555555555555555555555...
		

Links

• Greg Martin and Winnie Miao, abc triples, arXiv:1409.2974 [math.NT], 2014. See p. 5.
• Index entries for linear recurrences with constant coefficients, signature (1).

Crossrefs

Cf. A374357 (decimal expansion of the 5th root of 109), A374358 (continued fraction of the 5th root of 109).

Cf. A010484.

Essentially the same as A021022 and A010716.

Programs

Mathematica

LinearRecurrence[{1},{2,5},100]

Formula

G.f.: x*(2 + 3*x)/(1 - x).

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

E.g.f.: 5*exp(x) - 3*x - 5.