A057043 Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057043(n)=i(L(n)), where L(n) is the n-th Lucas number.

1, 1, 2, 1, 1, 1, 3, 1, 2, 10, 3, 9, 22, 25, 23, 38, 62, 1, 107, 33, 76, 166, 263, 176, 397, 430, 227, 688, 811, 1481, 942, 518, 2087, 2731, 3318, 2563, 6747, 6100, 12993, 8171, 6599, 15585