The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A010530 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A010530

Decimal expansion of square root of 78.
(history; published version)

#15 by Charles R Greathouse IV at Tue Feb 11 14:45:24 EST 2025

STATUS

editing

approved

#14 by Charles R Greathouse IV at Tue Feb 11 14:45:21 EST 2025

LINKS

<a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.

EXAMPLE

8.831760866327846854764042726959253964174639480931417826210202972557139... - _Harry J. Smith_, Jun 09 2009

CROSSREFS

Cf. A010156 Continued fraction. - _Harry J. Smith_, Jun 09 2009

STATUS

approved

editing

#13 by Jon E. Schoenfield at Sun Dec 20 03:43:37 EST 2015

STATUS

editing

approved

#12 by Jon E. Schoenfield at Sun Dec 20 03:43:36 EST 2015

COMMENTS

Continued fraction expansion is 8 followed by {1, 4, 1, 16} repeated. [From _- _Harry J. Smith_, Jun 09 2009]

LINKS

Harry J. Smith, <a href="/A010530/b010530.txt">Table of n, a(n) for n = 1,...,20000</a>

EXAMPLE

8.831760866327846854764042726959253964174639480931417826210202972557139... [From _- _Harry J. Smith_, Jun 09 2009]

PROG

(PARI) { default(realprecision, 20080); x=sqrt(78); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010530.txt", n, " ", d)); } [From _\\ _Harry J. Smith_, Jun 09 2009]

CROSSREFS

Cf. A010156 Continued fraction. [From _- _Harry J. Smith_, Jun 09 2009]

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#11 by Charles R Greathouse IV at Thu Nov 21 13:07:02 EST 2013

MATHEMATICA

RealDigits[N[78^(1/2), 200]][[1]] (* From _Vladimir Joseph Stephan Orlovsky, _, Jan 23 2012 *)

Discussion

Thu Nov 21

13:07

OEIS Server: https://oeis.org/edit/global/2063

#10 by Russ Cox at Fri Mar 30 17:24:04 EDT 2012

COMMENTS

Continued fraction expansion is 8 followed by {1, 4, 1, 16} repeated. [From _Harry J. Smith (hjsmithh(AT)sbcglobal.net), _, Jun 09 2009]

EXAMPLE

8.831760866327846854764042726959253964174639480931417826210202972557139... [From _Harry J. Smith (hjsmithh(AT)sbcglobal.net), _, Jun 09 2009]

PROG

(PARI) { default(realprecision, 20080); x=sqrt(78); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010530.txt", n, " ", d)); } [From _Harry J. Smith (hjsmithh(AT)sbcglobal.net), _, Jun 09 2009]

CROSSREFS

Cf. A010156 Continued fraction. [From _Harry J. Smith (hjsmithh(AT)sbcglobal.net), _, Jun 09 2009]

Discussion

Fri Mar 30

17:24

OEIS Server: https://oeis.org/edit/global/133

#9 by Russ Cox at Fri Mar 30 16:45:36 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:45

OEIS Server: https://oeis.org/edit/global/110

#8 by T. D. Noe at Mon Jan 23 17:47:22 EST 2012

STATUS

proposed

approved

#7 by Vladimir Joseph Stephan Orlovsky at Mon Jan 23 14:56:21 EST 2012

STATUS

editing

proposed

#6 by Vladimir Joseph Stephan Orlovsky at Mon Jan 23 14:56:14 EST 2012

MATHEMATICA

RealDigits[N[78^(1/2), 200]][[1]] (* From Vladimir Joseph Stephan Orlovsky, Jan 23 2012 *)

STATUS

approved

editing