%I A084903
%S A084903 1,9,44,170,576,1792,5248,14688,39680,104192,267264,672256,1662976,
%T A084903 4055040,9764864,23257088,54853632,128253952,297533440,685375488,
%U A084903 1568669696,3569352704,8078229504,18192793600,40785412096,91049951232
%N A084903 Binomial transform of positive cubes.
%F A084903 a(n)=2^(n-3)(n^3+9n^2+18n+8); a(n)=sum{k=0..n, C(n, k)(1+k)^3 }.
%F A084903 O.g.f.: (x-1)*(2*x^2-2*x-1)/(-1+2*x)^4. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Apr 02 2008
%Y A084903 Cf. A000578, A058645.
%Y A084903 Sequence in context: A036599 A059825 A074631 this_sequence A034558 A144109 
               A099867
%Y A084903 Adjacent sequences: A084900 A084901 A084902 this_sequence A084904 A084905 
               A084906
%K A084903 easy,nonn
%O A084903 0,2
%A A084903 Paul Barry (pbarry(AT)wit.ie), Jun 13 2003