A379276 - OEIS

%I #13 Dec 20 2024 13:28:11

%S 3,1,4,1,5,9,2,6,5,3,5,9,0,4,5,3,1,1,3,1,1,0,3,2,5,1,0,8,0,7,4,9,0,0,

%T 8,4,8,4,7,6,7,4,3,3,3,4,1,7,7,2,9,6,0,1,0,4,5,8,8,2,3,9,0,3,6,5,9,2,

%U 0,8,3,8,5,9,8,9,9,3,8,2,4,4,1,6,9,5,0,9,3,9

%N Decimal expansion of 2^(5^0.4) - 0.6 - ((0.3^9)/7)^(0.8^0.1).

%C By rewriting the expression without the zeros, i.e., 2^(5^.4) - .6 - ((.3^9)/7)^(.8^.1), we obtain a pandigital expression that is an approximation to Pi accurate to 11 digits.

%C This formula was found by B. Ziv in 2004.

%H Paolo Xausa, <a href="/A379276/b379276.txt">Table of n, a(n) for n = 1..10000</a>

%H Brady Haran and James Grime, <a href="https://www.youtube.com/watch?v=xgBGibfLD-U">Incredible Formula</a>, Numberphile YouTube video, 2016.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PiApproximations.html">Pi Approximations</a>.

%H <a href="/index/Ph#Pi314">Index entries for sequences related to the number Pi</a>

%e 3.141592653590453113110325108074900848476743334...

%t First[RealDigits[2^5^(4/10) - 6/10 - ((3/10)^9/7)^(8/10)^(1/10), 10, 100]]

%Y Cf. A000796, A221185.

%K nonn,cons,easy

%O 1,1

%A _Paolo Xausa_, Dec 19 2024