A083377 a(n) = the largest integer whose square has n digits and first digit 1.

1, 4, 14, 44, 141, 447, 1414, 4472, 14142, 44721, 141421, 447213, 1414213, 4472135, 14142135, 44721359, 141421356, 447213595, 1414213562, 4472135954, 14142135623, 44721359549, 141421356237, 447213595499, 1414213562373, 4472135954999

Offset: 1

Author

Werner S. Hürlimann (whurlimann(AT)bluewin.ch), Jun 05 2003

Keywords

• base
• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• W. Hürlimann, Integer powers and Benford's law, International Journal of Pure and Applied Mathematics, vol. 11, no. 1, pp. 39-46, 2004.
• Index entries for sequences related to Benford's law

Crossrefs

Cf. A049416, A083378, A083379, A083380.

Programs

Magma

[Floor(Sqrt(10^n/5))  : n in [1..30]]; // Vincenzo Librandi, Oct 01 2011

Formula

a(n) = floor(sqrt(10^n/5)).

Extensions

Edited by Don Reble, Nov 05 2005

Reference fixed by Charles R Greathouse IV, Oct 30 2009

More terms from Vincenzo Librandi, Oct 01 2011