A379276 Decimal expansion of 2^(5^0.4) - 0.6 - ((0.3^9)/7)^(0.8^0.1).

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

Offset: 1

Author

Paolo Xausa, Dec 19 2024

Keywords

• nonn
• cons
• easy

Comments

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.

This formula was found by B. Ziv in 2004.

Examples

			3.141592653590453113110325108074900848476743334...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• Brady Haran and James Grime, Incredible Formula, Numberphile YouTube video, 2016.
• Eric Weisstein's World of Mathematics, Pi Approximations.
• Index entries for sequences related to the number Pi

Crossrefs

Cf. A000796, A221185.

Programs

Mathematica

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