A095254 a(n) = floor(concatenation(1,2,3,...,n-1,n)^(1/n)).

1, 3, 4, 5, 6, 7, 7, 7, 7, 10, 12, 14, 17, 19, 21, 24, 26, 28, 30, 31, 33, 35, 37, 38, 40, 41, 42, 44, 45, 46, 47, 49, 50, 51, 52, 53, 53, 54, 55, 56, 57, 58, 58, 59, 60, 60, 61, 62, 62, 63

Offset

1,2

Comments

Does lim_{n->infinity} a(n)/n converge? - Ryan Propper, Aug 29 2005

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

a(4) = floor(1234^(1/4)) = floor(5.926...) = 5.

Mathematica

s = ""; Do[s = s <> ToString[n]; k = ToExpression[s]; Print[Floor[k^(1/n)]], {n, 1, 50}] (* Ryan Propper, Aug 29 2005 *)
Table[Floor[Surd[FromDigits[Flatten[IntegerDigits/@Range[n]]], n]], {n, 60}] (* Harvey P. Dale, Sep 26 2016 *)

Crossrefs

Cf. A068995, A095253.

Sequence in context: A182258 A067628 A168093 * A262980 A242374 A225179

Adjacent sequences: A095251 A095252 A095253 * A095255 A095256 A095257

Keyword

base,nonn

Author

Amarnath Murthy, Jun 17 2004

Extensions

More terms from Ryan Propper, Aug 29 2005

Status

approved