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%I #15 Jun 21 2017 12:07:47
%S 1,3,11,42,161,611,2298,8596,32062,119413,444416,1653314,6149281,
%T 22868510,85039306,316215941,1175812311,4372067762,16256716467,
%U 60447335192,224760809887,835725230965,3107464378235,11554433256642,42962649080798,159747256982142
%N Binomial transform of A090039.
%C a(n)/a(n-1) tends to e+1; e.g., a(14)/a(13) = 3.71889168...; whereas A090039(n)/A090039(n-1) tends to e.
%H R. Witula, P. Lorenc, M. Rozanski, M. Szweda, <a href="http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-142e1ad8-f56c-4c6e-b6e6-f71d1f31e76e">Sums of the rational powers of roots of cubic polynomials</a>, Zeszyty Naukowe Politechniki Slaskiej, Seria: Matematyka Stosowana z. 4, Nr. kol. 1920, 2014.
%e a(4) = 42 = 1*1 + 3*2 + 3*6 + 1*17; where 1, 2, 6, 17...are the first 4 terms of A090039.
%Y Cf. A090039.
%K nonn
%O 1,2
%A _Gary W. Adamson_, May 02 2005
%E More terms from _Arkadiusz Wesolowski_, Apr 24 2012
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