cp's OEIS Frontend

A244014 Numerators of rational approximations to sqrt(6) obtained from Newton's method.

%I A244014 #9 Jun 19 2014 17:19:47
%S A244014 2,5,49,4801,46099201,4250272665676801,
%T A244014 36129635465198759610694779187201,
%U A244014 2610701117696295981568349760414651575095962187244375364404428801
%N A244014 Numerators of rational approximations to sqrt(6) obtained from Newton's method.
%e A244014 2, 5/2, 49/20, 4801/1960, 46099201/18819920, ...
%p A244014 N:=6;
%p A244014 s:=[floor(sqrt(N))];
%p A244014 M:=8;
%p A244014 for n from 1 to M do
%p A244014 x:=s[n];
%p A244014 h:=(N-x^2)/(2*x);
%p A244014 s:=[op(s),x+h]; od:
%p A244014 lprint(s);
%p A244014 s1:=map(numer,s);
%p A244014 s2:=map(denom,s);
%Y A244014 Cf. A244015, A084765.
%Y A244014 The analogs for sqrt(k), k=2,3,5,6,7 are: A001601/A051009, A002812/A071579, A081459/A081460, A244014/A244015, A244012/A244013.
%K A244014 nonn,frac
%O A244014 0,1
%A A244014 _N. J. A. Sloane_, Jun 18 2014