Chandrashekar, AdigaCooper, ShaunHan, Jung Hun2013-05-142013-05-142004Chandrashekar, A., Cooper, S., Han, J.H. (2004), General relations between sums of squares and sums of triangular numbers, Research Letters in the Information and Mathematical Sciences, 6, 157-1611175-2777http://hdl.handle.net/10179/4428Let = ( 1, · · · , m) be a partition of k. Let r (n) denote the number of solutions in integers of 1x21 + · · · + mx2 m = n, and let t (n) denote the number of solutions in non negative integers of 1x1(x1 +1)/2+· · ·+ mxm(xm +1)/2 = n. We prove that if 1 k 7, then there is a constant c , depending only on , such that r (8n + k) = c t (n), for all integers n.enIntegersArticle