The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A040727 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A040727

Continued fraction for sqrt(755).
(history; published version)

#16 by Joerg Arndt at Wed Dec 27 01:22:30 EST 2023

STATUS

editing

approved

#15 by Joerg Arndt at Wed Dec 27 01:22:28 EST 2023

FORMULA

a(n)=(1/6)*{-61*(n mod 4)+29*[(n+1) mod 4]+5*[(n+2) mod 4]+95*[(n+3) mod 4]}-27*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 20 2009]

STATUS

approved

editing

#14 by Harvey P. Dale at Mon Jan 02 16:06:38 EST 2023

STATUS

editing

approved

#13 by Harvey P. Dale at Mon Jan 02 16:06:35 EST 2023

MATHEMATICA

ContinuedFraction[Sqrt[755], 100] (* or *) PadRight[{27}, 100, {54, 2, 10, 2}] (* Harvey P. Dale, Jan 02 2023 *)

STATUS

approved

editing

#12 by Ray Chandler at Fri Mar 10 15:59:07 EST 2017

STATUS

editing

approved

#11 by Ray Chandler at Fri Mar 10 15:59:04 EST 2017

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1).

STATUS

approved

editing

#10 by Russ Cox at Fri Mar 30 18:53:26 EDT 2012

FORMULA

a(n)=(1/6)*{-61*(n mod 4)+29*[(n+1) mod 4]+5*[(n+2) mod 4]+95*[(n+3) mod 4]}-27*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava (paoloplava(AT)gmail.com), _, May 20 2009]

Discussion

Fri Mar 30

18:53

OEIS Server: https://oeis.org/edit/global/262

#9 by Russ Cox at Fri Mar 30 16:47:59 EDT 2012

AUTHOR

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

Discussion

Fri Mar 30

16:47

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

#8 by T. D. Noe at Wed Sep 28 20:46:40 EDT 2011

FORMULA

a(n)=(1/6)*{-61*(n mod 4)+29*[(n+1) mod 4]+5*[(n+2) mod 4]+95*[(n+3) mod 4]}-27*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (pplpaoloplava(AT)splgmail.atcom), May 20 2009]

Discussion

Wed Sep 28

20:46

OEIS Server: https://oeis.org/edit/global/96

#7 by Russ Cox at Sun Jul 10 18:18:08 EDT 2011

LINKS

<a href="/Sindx_index/Con.html#confC">Index entries for continued fractions for constants</a>

Discussion

Sun Jul 10

18:18

OEIS Server: https://oeis.org/edit/global/31