Magic triangle (mathematics)

Matthew Wright and his students in St. Olaf College developed magic triangles with square numbers.

In their magic triangles, the sum of the k-th row and the (n-k+1)-th row is same for all k.[5](sequence A356808 in the OEIS) Its one modification uses triangular numbers instead of square numbers.

(sequence A355119 in the OEIS) Another magic triangle form is magic triangles with triangular numbers with different summation.

In this magic triangle, the sum of the k-th row and the (n-k)-th row is same for all k. (sequence A356643 in the OEIS) Another magic triangle form is magic triangles with square numbers with different summation.

(sequence A375416 in the OEIS) Magic Triangles have also been discovered, such that when its elements are squared, we obtain another magic triangle.