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A007541 Incrementally largest terms in the continued fraction for Pi-2 (cf. A001203).
(Formerly M4351)
3

%I M4351

%S 1,7,15,292,436,20776,78629,179136,528210,12996958,878783625,

%T 5408240597,5916686112,9448623833,9787547328

%N Incrementally largest terms in the continued fraction for Pi-2 (cf. A001203).

%C No larger term in the first 10,672,905,501 terms of the c.f. - _Eric W. Weisstein_, Jul 18 2013

%D R. W. Gosper, Jr., Table of the simple continued fraction for pi and the derived decimal approximation, Math. Comp., 31 (1977), 1044.

%D R. W. Gosper, personal communication.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%D See A001203 for many additional references and links.

%H H. Havermann, <a href="http://chesswanks.com/pxp/cfpi.html">Simple Continued Fraction for Pi</a> [a 483 MB file containing 180 million terms]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Pi.html">Pi</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PiContinuedFraction.html">Pi Continued Fraction</a>

%H <a href="/index/Ph#Pi314">Index entries for sequences related to the number Pi</a>

%o (PARI) allocatemem(4096*10^6);

%o default(realprecision, 50000);

%o v = contfrac(Pi-2);

%o m = 0;

%o for (i=1, #v, if (v[i] > m, m = v[i]; print1(m, ", "))); \\ _Michel Marcus_, Aug 05 2017; to get 7 terms

%Y Cf. A001203, A000796, A033090.

%Y Apart from initial term, same as A033089.

%K nonn

%O 1,2

%A _N. J. A. Sloane_

%E Corrected (missing a(9) added) by _Eric W. Weisstein_, Dec 08 2010

%E a(12) from _Eric W. Weisstein_, Dec 08 2010

%E a(13) from _Eric W. Weisstein_, Sep 16 2011

%E a(14) from _Eric W. Weisstein_, Sep 17 2011

%E a(15) from _Eric W. Weisstein_, Jul 18 2013

%E a(6) corrected by _Bobby Jacobs_, Aug 05 2017

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Last modified June 25 03:09 EDT 2021. Contains 345449 sequences. (Running on oeis4.)