Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; the n-th Lucas number is in antidiagonal a(n).

A057045

Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; the n-th Lucas number is in antidiagonal a(n).

Terms

    a(0) =2a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =6a(7) =8a(8) =10a(9) =12a(10) =16a(11) =20a(12) =25a(13) =32a(14) =41a(15) =52a(16) =66a(17) =85a(18) =107a(19) =137a(20) =174a(21) =221a(22) =281a(23) =358a(24) =455a(25) =579a(26) =737a(27) =937a(28) =1192a(29) =1516

External references