A010538 Decimal expansion of square root of 87.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Continued fraction expansion is 9 followed by {3, 18} repeated. - Harry J. Smith, Jun 10 2009

Examples

			9.3273790530888150455544755423205569832762406...
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Index entries for algebraic numbers, degree 2.

Crossrefs

Cf. A040077 (continued fraction).

Cf. A002194, A010484.

Programs

Mathematica

RealDigits[N[87^(1/2),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 23 2012 *)

Python

from math import isqrt
def aupton(nn): return list(map(int, str(isqrt(87 * 10**(2*nn)))))[:nn]
print(aupton(100)) # Michael S. Branicky, Sep 03 2021

Formula

Equals A002194 * A010484. - R. J. Mathar, Jun 08 2020