G.f.: exp( Sum_{n>=1} 5*Fibonacci(n-2)*Fibonacci(n+2) * x^n/n ).

Terms

a(0) =1a(1) =10a(2) =50a(3) =175a(4) =510a(5) =1376a(6) =3625a(7) =9500a(8) =24875a(9) =65125a(10) =170500a(11) =446375a(12) =1168625a(13) =3059500a(14) =8009875a(15) =20970125a(16) =54900500a(17) =143731375a(18) =376293625a(19) =985149500a(20) =2579154875a(21) =6752315125a(22) =17677790500a(23) =46281056375a(24) =121165378625a(25) =317215079500a(26) =830479859875