A025078 a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ] and s = (Fibonacci numbers).

1, 2, 5, 8, 19, 31, 65, 105, 210, 340, 654, 1058, 1985, 3212, 5911, 9564, 17345, 28065, 50305, 81395, 144516, 233832, 411900, 666468, 1166209, 1886966, 3283145, 5312240, 9197455, 14881795, 25655489, 41511453, 71293590, 115355452