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%I #53 Jul 08 2023 20:08:49
%S 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
%T 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
%U 6,6,6,6,6,6,6,6,6,6,6,6,6
%N Constant sequence: the all 6's sequence.
%C Continued fraction expansion of 3+sqrt(10). - _Bruno Berselli_, Mar 15 2011
%C Decimal expansion of Sum_{n >= 0} n/binomial(2*n+1, n) = 2/3. - _Bruno Berselli_, Sep 14 2015
%C Decimal expansion of 2/3. - _Franklin T. Adams-Watters_, Feb 23 2019
%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=1014">Encyclopedia of Combinatorial Structures 1014</a>
%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H <a href="/index/Di#divseq">Index to divisibility sequences</a>
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F G.f.: 6/(1-x). - _Bruno Berselli_, Mar 15 2011
%F E.g.f.: 6*e^x. - _Vincenzo Librandi_, Jan 27 2012
%F a(n) = floor(1/(-n + csc(1/n))). - _Clark Kimberling_, Mar 10 2020
%o (PARI) a(n)=6 \\ _Charles R Greathouse IV_, Sep 28 2015
%Y Cf. A145429: decimal expansion of Sum_{n >= 0) n/binomial(2*n, n).
%Y Cf. A000012, A007395, A010701, A010709, A010716.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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