putnam-v1 / putnam-1965-a2

putnam-1965-a2

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1965-a2

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/putnam-1965-a2.lean

import Mathlib

open EuclideanGeometry

theorem putnam_1965_a2 : ∀ n > 0, ∑ r ∈ Finset.Icc 0 ((n - 1)/2), ((n - 2*r) * Nat.choose n r / (n : ℚ))^2 = (Nat.choose (2*n - 2) (n - 1))/(n : ℚ) := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.