read `Armin.txt`: K:=200: print(`An Experimental (easily rigorizable) proof of Armin Straub's conjecture that the number of (2k+1,2k+3)-core partitions`): print(`into distinct parts equals 4^k, by checking it up to`, k=K): print(``): print(`By Shalosh B. Ekhad `): print(``): print(`Let a(k) be the number of (2k+1,2k+3)-core partitions into distinct parts`): print(`The set of differences a(k)-4^k is, from k=1 to k=`, K, `is `): print(``): print({seq(a(i)-4^i,i=1..K)}): print(``): print(`This took`, time(), `seconds. `): quit: