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A083377 a(n) = the largest integer whose square has n digits and first digit 1. 4
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 (list; graph; refs; listen; history; text; internal format)
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 A208666 A125068

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

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Last modified January 20 12:15 EST 2022. Contains 350472 sequences. (Running on oeis4.)