%I A140151
%S A140151 1,33,42,1066,1091,8867,8916,41684,41765,141765,141886,390718,390887,
%T A140151 928711,928936,1977512,1977801,3867369,3867730,7067730,7068171,12221803,
%U A140151 12222332,20184956,20185581,32066957,32067686,49278054,49278895
%N A140151 a(1)=1, a(n)=a(n-1)+n^2 if n odd, a(n)=a(n-1)+ n^5 if n is even.
%F A140151 a(n)=a(n-1)+{[1-(-1)^n]/2}*n^2+{[1+(-1)^n]/2}*n^5, with a(1)=1 a(n)= 
               (-1/8)-(1/4)*(-1)^n*n+(1/8)*(-1)^n+(1/6)*n^3-(7/8)*(-1)^n*n^2+(5/
               24)*n^2+(1/12)*n+(1/12)*n^6+(1/4 )*(-1)^n*n^5+(1/4)*n^5+(5/8)*(-1)^n*n^4+(5/
               24)*n^4, with n>=1 - Paolo P. Lava (ppl(AT)spl.at), Jun 06 2008
%F A140151 G.f.: x*(-1-32*x-3*x^2-832*x^3+14*x^4-2112*x^5-14*x^6-832*x^7+3*x^8-32*x^9+x^10 
               )/((1+x)^6*(x-1)^7). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Feb 22 2009]
%t A140151 a = {}; r = 2; s = 5; Do[k = 0; Do[k = k + (Sin[Pi m/2]^2) m^r + (Cos[Pi 
               m/2]^2) m^s, {m, 1, n}]; AppendTo[a, k], {n, 1, 100}]; a (*Artur 
               Jasinski*)
%Y A140151 Cf. A000027, A000217, A000330, A000537, A000538, A000539, A136047, A140113.
%Y A140151 Sequence in context: A034070 A045241 A046041 this_sequence A121993 A050875 
               A060876
%Y A140151 Adjacent sequences: A140148 A140149 A140150 this_sequence A140152 A140153 
               A140154
%K A140151 nonn
%O A140151 1,2
%A A140151 Jasinski Artur (grafix(AT)csl.pl), May 12 2008