M000168

$$\pi=19803492\arctan\left(\frac{2}{16840821}\right)+19637688\arctan\left(\frac{1}{24208144}\right)-20692676\arctan\left(\frac{1}{54610269}\right)+41908120\arctan\left(\frac{1}{100656977}\right)-9271456\arctan\left(\frac{2}{322564791}\right)+4959324\arctan\left(\frac{1}{179734612}\right)+3649280\arctan\left(\frac{1}{243608253}\right)-7232320\arctan\left(\frac{1}{385231007}\right)-32670944\arctan\left(\frac{1}{1304967682}\right)-27146184\arctan\left(\frac{1}{1948043651}\right)+1557700\arctan\left(\frac{2}{4532659739}\right)+34072088\arctan\left(\frac{2}{4949475989}\right)-11972636\arctan\left(\frac{1}{18986886768}\right)+10438408\arctan\left(\frac{1}{194648028089}\right)-26987860\arctan\left(\frac{2}{520629831511}\right)$$
Compact formula19803492[16840821/2] + 19637688[24208144] - 20692676[54610269] + 41908120[100656977] - 9271456[322564791/2] + 4959324[179734612] + 3649280[243608253] - 7232320[385231007] - 32670944[1304967682] - 27146184[1948043651] + 1557700[4532659739/2] + 34072088[4949475989/2] - 11972636[18986886768] + 10438408[194648028089] - 26987860[520629831511/2]
Lehmer's measure1.71688
References
ASN (27May10)(ΒΆΒΆ1.88826) (full reference coming soon)