2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99507We show that the denominator formula for the strange series of affine superalgebras, conjectured by Kac and Wakimoto and proved by Zagier, follows from a classical determinant evaluation of Frobenius. As a limit case, we obtain exact formulas for the number of representations of an arbitrary number as a sum of 4m^2/d triangles, whenever d divides 2m, and 4m(m+1)/d triangles, when d divides 2m or d divides 2m+2. This extends recent results of Getz and Mahlburg, Milne, and Zagier.27 pages; minor changes from previous versionNumber TheoryClassical Analysis and ODEs11E25; 17B65Sums of triangular numbers from the Frobenius determinanttext