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A080410 Boustrophedon transform of the continued fraction of the Euler-Mascheroni constant, gamma (A001620). 1

%I #9 Oct 04 2012 10:28:42

%S 0,1,3,8,23,72,279,1236,6313,36133,230119,1611138,12308693,101865629,

%T 907900133,8669791288,88309821406,955736037556,10951928988000,

%U 132472073263683,1686686835102650,22549341913109430,315817852408881670

%N Boustrophedon transform of the continued fraction of the Euler-Mascheroni constant, gamma (A001620).

%H J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J.Combin. Theory, 17A 44-54 1996 (<a href="http://neilsloane.com/doc/bous.txt">Abstract</a>, <a href="http://neilsloane.com/doc/bous.pdf">pdf</a>, <a href="http://neilsloane.com/doc/bous.ps">ps</a>).

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H <a href="/index/Bo#boustrophedon">Index entries for sequences related to boustrophedon transform</a>

%F a(n) appears to be asymptotic to C*n!*(2/Pi)^n where C=5.79838940503783299259552225238077705314049166104773668246015... which almost satisfies the polynomial equation 94487-16249C-8C^2=0 - _Benoit Cloitre_ and Mark Hudson (mrmarkhudson(AT)hotmail.com)

%e We simply apply the Boustrophedon transform to [0,1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,...] (A002852)

%Y Cf. A001620, A002852, A080406-A080409.

%K nonn,easy

%O 0,3

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 18 2003

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Last modified April 20 00:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)