A027663 a(n)/100000 gives sqrt(n) to 5 places after the decimal point.

100000, 141421, 173205, 200000, 223607, 244949, 264575, 282843, 300000, 316228, 331662, 346410, 360555, 374166, 387298, 400000, 412311, 424264, 435890, 447214, 458258, 469042, 479583, 489898, 500000, 509902, 519615, 529150, 538516, 547723, 556776, 565685, 574456

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• base

Crossrefs

Cf. A027662, A027664.

Programs

Maple

lprint(round(evalf(100000*sqrt(n))));

Mathematica

Table[Floor[FromDigits[RealDigits[Sqrt[n],10,7][[1]]]/10+1/2],{n,30}] (* Harvey P. Dale, Jan 31 2012 *)

Python

from math import isqrt
def A027663(n): return (m:=isqrt(k:=n*10**10))+int((k-m*(m+1)<<2)>=1) # Chai Wah Wu, Jul 30 2022