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%I #12 Jun 04 2015 14:28:12
%S 0,5,7,12,155,301,444,5921,11395,16872,224807,432745,640680,8536781,
%T 16432879,24328980,324172835,624016693,923860548,12310030985,
%U 23696201419,35082371856,467457004559,899831637265,1332206269968,17751056142293
%N Numerators b(n) of Pythagorean approximations b(n)/a(n) to 1/3.
%C See A195500 for discussion and list of related sequences; see A195556 for Mathematica program.
%F Conjecture: a(n) = +37*a(n-3) +37*a(n-6) -a(n-9). - _R. J. Mathar_, Sep 21 2011
%F Empirical g.f.: -x^2*(x^7-x^6-42*x^4+30*x^3-12*x^2-7*x-5) / (x^9-37*x^6-37*x^3+1). - _Colin Barker_, Jun 04 2015
%Y Cf. A195500, A195556, A195558.
%K nonn
%O 1,2
%A _Clark Kimberling_, Sep 21 2011
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