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%I M3372 #31 Mar 19 2024 03:20:13
%S 0,1,1,1,4,9,196,16641,639988804,177227652025317609,
%T 72589906463585427805281295977816196,
%U 2280022876287160141646375873338796324543839666085098409289740769448641
%N Partial quotients in continued fraction expansion of Cahen's constant.
%C Shifted squares of denominators of convergents to Cahen's constant: a(n) = A006279(n-2)^2 for n > 1. - _Jonathan Sondow_, Aug 20 2014
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Amiram Eldar, <a href="/A006280/b006280.txt">Table of n, a(n) for n = 0..14</a>
%H J. L. Davison and Jeffrey O. Shallit, <a href="https://doi.org/10.1007/BF01332350">Continued Fractions for Some Alternating Series</a>, Monatshefte für Mathematik, Vol. 111 (1991), pp. 119-126; <a href="http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN362162050_0111&DMDID=DMDLOG_0013&LOGID=LOG_0013&PHYSID=PHYS_0126">alternative link</a>.
%t b[n_] := b[n] = If[n < 2, 1, b[n-2]^2*b[n-1] + b[n-2]];
%t a[n_] := If[n == 0, 0, b[n-2]^2];
%t Table[a[n], {n, 0, 10}] (* _Jean-François Alcover_, Sep 23 2022, after _Jonathan Sondow_ *)
%Y Cf. A006279, A006281, A118227.
%K nonn,easy
%O 0,5
%A _N. J. A. Sloane_.
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