A025097 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A014306.
1, 1, 3, 1, 4, 8, 15, 15, 25, 23, 40, 37, 62, 55, 91, 73, 120, 196, 318, 316, 514, 511, 829, 822, 1332, 1314, 2128, 2081, 3369, 3246, 5254, 4932, 7982, 7138, 11550, 9342, 15117, 24462, 39582, 39571, 64029, 64000, 103556, 103480, 167436, 167237, 270597, 270076, 436994
Offset: 1