Expansion of (A(x)^2+A(x^2))/2 where A(x) = A001006(x).

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =16a(5) =38a(6) =100a(7) =256a(8) =681a(9) =1805a(10) =4867a(11) =13162a(12) =35925a(13) =98469a(14) =271511a(15) =751656a(16) =2089963a(17) =5831451a(18) =16326785a(19) =45847770a(20) =129108926a(21) =364498596a(22) =1031486590a(23) =2925337352a(24) =8313215743a(25) =23668977163a(26) =67507773621a(27) =192859753310a(28) =551821400008