Expansion of g.f. A(x) satisfying A(x) = 1 + x*(A(x)^2 - A(-x)^2)/2 + x*sqrt( (A(x)^4 + A(-x)^4)/2 ).

A368593

Expansion of g.f. A(x) satisfying A(x) = 1 + x*(A(x)^2 - A(-x)^2)/2 + x*sqrt( (A(x)^4 + A(-x)^4)/2 ).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =7a(4) =18a(5) =78a(6) =220a(7) =1043a(8) =3090a(9) =15402a(10) =47044a(11) =242126a(12) =755076a(13) =3973820a(14) =12580344a(15) =67303139a(16) =215511330a(17) =1167556434a(18) =3772175860a(19) =20640707866a(20) =67167649868a(21) =370510806212

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