From d421a3ad38beb76a4c566ea4146f9fc191929318 Mon Sep 17 00:00:00 2001
From: davis-matthew <mdavis438@gatech.edu>
Date: Sat, 17 Oct 2026 19:25:03 -0400
Subject: [PATCH] Optimization of Triangle Number Sum

---
 src/core/fmm/utils.cc | 6 +-----
 1 file changed, 1 insertion(+), 5 deletions(-)

diff --git a/src/core/fmm/utils.cc b/src/core/fmm/utils.cc
index bef8bad1..af765c6f 100644
--- a/src/core/fmm/utils.cc
+++ b/src/core/fmm/utils.cc
@@ -3,11 +3,7 @@
 size_t TriangleNumbers(size_t n) { return (n * (n + 1)) / 2; }
 
 size_t Nterms(size_t p) {
-  size_t result = 0;
-  for (auto i = 0; i < p + 2; i++) {
-    result += TriangleNumbers(i);
-  }
-  return result;
+  return ((p + 1) * (p + 2) * (p + 3)) / 6;
 }
 
 size_t Msize(size_t order, size_t source_order) {