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Revision History for A040000

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Showing entries 1-10 | older changes
a(0)=1; a(n)=2 for n >= 1.
(history; published version)
#166 by Charles R Greathouse IV at Sun Feb 16 08:32:38 EST 2025
LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SquareRoot.html">Square root</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PythagorassConstant.html">Pythagoras's Constant</a>.

Discussion
Sun Feb 16
08:32
OEIS Server: https://oeis.org/edit/global/3014
#165 by N. J. A. Sloane at Sat Jan 18 09:38:59 EST 2025
STATUS

proposed

#164 by Stefano Spezia at Sat Jan 18 09:15:36 EST 2025
STATUS

editing

#163 by Stefano Spezia at Sat Jan 18 08:35:20 EST 2025
FORMULA

Euler transform of length 2 sequence [2, -1]. - _Michael Somos_, Apr 16 2007

G.f. A(x) satisfies 0 = f(A(x), A(x^2), A(x^4)) where f(u, v, w) = (u-v)*(u+v) - 2*v*(u-w). - _Michael Somos_, Apr 16 2007

E.g.f.: 2*exp(x) - 1. - _Michael Somos_, Apr 16 2007

a(n) = a(-n) for all n in Z (one possible extension to n<0). - _Michael Somos_, Apr 16 2007

#162 by Stefano Spezia at Sat Jan 18 08:31:30 EST 2025
LINKS

Kshitij Education, <a href="https://web.archive.org/web/20171219234500/http://www.kshitij-iitjee.com/molar-specific-heat-of-an-ideal-gas">Molar specific heat</a>

MathPath, <a href="https://web.archive.org/web/20150911210941/http://www.mathpath.org/Algor/squareroot/algor.square.root.contfrac.htm">Square-roots via Continued Fractions</a>

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SquareRoot.html">Square root</a>

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PythagorassConstant.html">Pythagoras's Constant</a>

Wikipedia, <a href="https://en.wikipedia.org/wiki/Heat_capacity_ratio">Poisson's constant</a>

G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>

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

<a href="/index/Con#constant">Index entries for eventually constant sequences</a>

#161 by Stefano Spezia at Sat Jan 18 08:22:14 EST 2025
REFERENCES

STATUS

approved

#160 by Michael De Vlieger at Sun Feb 18 09:07:00 EST 2024
STATUS

reviewed

#159 by Kevin Ryde at Sun Feb 18 01:14:12 EST 2024
STATUS

proposed

#158 by Kevin Ryde at Sun Feb 18 01:14:05 EST 2024
STATUS

editing

#157 by Kevin Ryde at Sun Feb 18 01:12:38 EST 2024
CROSSREFS

Cf. A001333/A000129 (convergents).

Cf. A000122, A002193 (decimal expansion), A006487 (Egyptian fraction).

STATUS

proposed

Discussion
Sun Feb 18
01:13
Kevin Ryde: That that example can be ok.  (Crossrefs start to get a bit confusing when there's multiple interpretations.)