Search: id:A091519
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%I A091519
%S A091519 1,6,9,28,25,54,49,120,81,150,121,252,169,294,225,496,289,486,361,700,
%T A091519 441,726,529,1080,625,1014,729,1372,841,1350,961,2016,1089,1734,1225,
%U A091519 2268,1369,2166,1521,3000,1681,2646,1849,3388,2025,3174,2209
%N A091519 G.f.: sum(k>=0, 2^k*t*(1+t)/(1-t)^3, t=x^2^k).
%F A091519 a(n) = 2n^2 - n*A000265(n) = n*A000265(n)*A038712(n).
%F A091519 Recurrence: a(0) = 0, a(2n) = 2a(n) + (2n)^2, a(2n+1) = (2n+1)^2.
%o A091519 (PARI) a(n)=2*n*n-n*n/2^valuation(n,2)
%o A091519 (PARI) a(n)=if(n<1,0,if(n%2==0,2*a(n/2)+n^2,n^2))
%Y A091519 Sequence in context: A007414 A025493 A054871 this_sequence A086491 A147415 
               A105866
%Y A091519 Adjacent sequences: A091516 A091517 A091518 this_sequence A091520 A091521 
               A091522
%K A091519 nonn,easy
%O A091519 1,2
%A A091519 R. Stephan (ralf(AT)ark.in-berlin.de), Jan 18 2004

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