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%I #4 Mar 30 2012 17:21:02
%S 1,1,1,2,6,21,112,853,11117,261080,11716571,1006700565,164159,422662,
%T 1295037,4272969,12780650,23303620,64379033,189490870,556338383,
%U 1448500351,2871171041,7624849834,20914847051,55714746424,133364472272,277569288280,708402263349,1827946074290,4530654263579,10312511072061,22005420425661,54057174050076,132409684714581
%N Number of 6-indecomposable (connected) graphs on n nodes.
%C See A124593 for definition.
%F G.f.: x/((1-x)*(1-x^2)^2*(1-x^3)^8*(1-x^4)^44*(1-x^5)^333) + 1 - x^3 - 5*x^4 - 37*x^5 - 295*x^6 + 318*x^7 + 9540*x^8 + 255640*x^9 + 11694624*x^10 + 1006613825*x^11 + 25539*x^12 + 25593*x^13 + 30877*x^14 + 34220*x^15
%Y Cf. A126099, A128526, A128527
%K nonn
%O 1,4
%A _David Applegate_ and _N. J. A. Sloane_, Mar 07 2007