A187765 The (n-1)th decimal place of the fractional part of the square root of n.

0, 4, 3, 0, 0, 8, 1, 1, 0, 0, 3, 3, 3, 9, 1, 0, 5, 4, 2, 8, 8, 5, 4, 6, 0, 1, 2, 7, 5, 0, 8, 7, 2, 3, 0, 0, 2, 2, 7, 9, 4, 0, 6, 0, 7, 3, 0, 4, 0, 7, 3, 2, 4, 8, 8, 6, 9, 0, 7, 4, 3, 5, 7, 0, 2, 3, 3, 9, 8, 7, 5, 7, 9, 6, 4, 6, 3, 4, 9, 5, 0, 3, 5, 0, 7, 0, 2

Offset: 1

Author

Ruskin Harding, Jan 04 2013

Keywords

• nonn
• base

Comments

If n=1 then the term is the first digit before the decimal point. If the square root of n is a whole number then the term is 0.

Examples

			If n=2, sqrt(2)=1.41421356 approx., the 1st(2-1) decimal place of which is 4 so the 2nd term is 4. If n=3, sqrt(3)=1.73205081 approx., the 2nd(3-1) decimal place of which is 3 so the 3rd term is 3.
		

Crossrefs

Cf. A003076 (n-th digit after decimal point of square root of n).

Programs

Mathematica

Join[{0}, Table[RealDigits[Sqrt[n] - Floor[Sqrt[n]], 10, n, -1][[1, -2]], {n, 2, 87}]]

Python

for n in range(1,16):
    x=str(n**0.5)
    for i in range(n):
        x=x+"0"
    if n==1:
        r=str(x[-1])
    else:
        r=r+","+str(x[n])
    if n==15:
        print(r)