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

1,2

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

Formula

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

Prog

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

Crossrefs

Cf. A049416, A083378, A083379, A083380.

Sequence in context: A065835 A198643 A097137 * A047115 A356726 A208666

Adjacent sequences: A083374 A083375 A083376 * A083378 A083379 A083380

Keyword

base,easy,nonn

Author

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

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

Status

approved