A368653 Decimal expansion of 58291/21444.

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

Offset: 1

Author

Stefano Spezia, Jan 02 2024

Keywords

• nonn
• cons
• easy

Comments

It is a rational approximation of e having an error less than 0.0003% provided by Charles Hermite in 1874 (see Hermite and Maor), where the error is calculated by abs(58291/21444-e)/e and expressed in percent.

Periodic with a period length of 893. - Ray Chandler, Jan 19 2024

Examples

			2.7182894982279425480320835664987875396381272...
		

References

• Eli Maor, e: The Story of a Number. Princeton, New Jersey: Princeton University Press (1994), p. 189.

Links

• Philip R. Brown, Approximations of e and Pi: an exploration, International Journal of Mathematical Education in Science and Technology, 48:sup1, S30-S39, 2017. See p. S32.
• Charles Hermite, Sur la fonction exponentielle, Gauthier-Villars, Paris, 1874.
• Index entries for sequences related to the number e
• Index entries for linear recurrences with constant coefficients, order 893.

Crossrefs

Cf. A001113, A007676, A007677, A368617, A368654, A368656.

Programs

Mathematica

Flatten[First[RealDigits[58291/21444,10,100]]]