A034082 a(n) = least integer m such that the part after the decimal point of the n-th root of m starts with the digit 5.

21, 4, 6, 8, 12, 18, 26, 39, 58, 87, 130, 195, 292, 438, 657, 986, 1478, 2217, 3326, 4988, 7482, 11223, 16835, 25252, 37877, 56816, 85223, 127835, 191752, 287627, 431440, 647160, 970740, 1456110, 2184165, 3276247, 4914370, 7371555, 11057333

Offset: 2

Author

Patrick De Geest, Sep 15 1998

Keywords

• nonn
• base

Examples

			a(25)=25252 -> 25252^(1/25)=1.{5}000019762083...
		

Crossrefs

Cf. A034062, A034072, A002379, A061418, A061419.

Programs

Python

def A034082(n): return (3**n>>n)+1 if n > 2 else 21 # Chai Wah Wu, Sep 21 2022

Formula

For n > 2: a(n) = ceiling((3/2)^n) = A002379(n) + 1. - Henry Bottomley, May 02 2001

Extensions

Definition clarified by N. J. A. Sloane, May 24 2021