A049738 a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049735.
1, 5, 26, 50, 123, 183, 364, 448, 753, 925, 1414, 1618, 2271, 2599, 3536, 3940, 5133, 5645, 7178, 7822, 9747, 10443, 12780, 13656, 16325, 17413, 20638, 21870, 25531, 26955, 31272, 32808, 37633, 39521, 44970, 46914, 53055
Offset: 0