Search: id:A140150
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%I A140150
%S A140150 1,17,26,282,307,1603,1652,5748,5829,15829,15950,36686,36855,75271,
%T A140150 75496,141032,141321,246297,246658,406658,407099,641355,641884,973660,
%U A140150 974285,1431261,1431990,2046646,2047487,2857487,2858448,3907024,3908113
%N A140150 a(1)=1, a(n)=a(n-1)+n^2 if n odd, a(n)=a(n-1)+ n^4 if n is even.
%F A140150 a(n)=a(n-1)+{[1-(-1)^n]/2}*n^2+{[1+(-1)^n]/2}*n^4, with a(1)=1 a(n)= 
               -(1/2)*(-1)^n*n+(1/2)*(-1)^n*n^3+(1/3)*n^3-(1/4)*(-1)^n*n^2+(1/4)*n^2+(1/
               15)*n+(1/10)*n^5+(1/4) *(-1)^n*n^4+(1/4)*n^4, with n>=1 - Paolo P. 
               Lava (ppl(AT)spl.at), Jun 06 2008
%F A140150 G.f.: x*(1+16*x+4*x^2+176*x^3-10*x^4+176*x^5+4*x^6+16*x^7+x^8)/((1+x)^5*(x-1)^6). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 22 2009]
%t A140150 a = {}; r = 2; s = 4; 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 A140150 Cf. A000027, A000217, A000330, A000537, A000538, A000539, A136047, A140113.
%Y A140150 Sequence in context: A031204 A085051 A154277 this_sequence A166658 A033702 
               A000797
%Y A140150 Adjacent sequences: A140147 A140148 A140149 this_sequence A140151 A140152 
               A140153
%K A140150 nonn
%O A140150 1,2
%A A140150 Jasinski Artur (grafix(AT)csl.pl), May 12 2008

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