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

1,1

Comments

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

Links

Harry J. Smith, Table of n, a(n) for n = 1..20000

Formula

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

Example

9.3273790530888150455544755423205569832762406... - Harry J. Smith, Jun 10 2009

Mathematica

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

Prog

(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

Crossrefs

Cf. A040077 (continued fraction). - Harry J. Smith, Jun 10 2009

Cf. A002194, A010484.

Sequence in context: A200624 A105171 A369880 * A216102 A019721 A265162

Adjacent sequences: A010535 A010536 A010537 * A010539 A010540 A010541

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved