A368617 Decimal expansion of 878/323.

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

Offset: 1

Author

Stefano Spezia, Jan 01 2024

Keywords

• nonn
• cons
• easy

Comments

Using the criterion of the minimum absolute difference, it is the closest rational approximation of e (cf. A001113) using integers below 1000 (see Maor).

The numerator and the denominator of 878/323 are palindromes in base 10 (cf. A002113).

It has period 144.

Examples

			2.7182662538699690402476780...
		

References

• Eli Maor, e: The Story of a Number. Princeton, New Jersey: Princeton University Press (1994), p. 37.
• David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 46.

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.
• Index entries for sequences related to the number e.
• Index entries for linear recurrences with constant coefficients, order 143.

Crossrefs

Cf. A001113, A002113, A007676, A007677, A368653, A368654, A368656.

Cf. A368618, A368619, A368620, A368621.

Programs

Mathematica

Flatten[First[RealDigits[878/323,10]]]

Formula

Equals A368618(3)/A368619(3) = A368620(3)/A368621(3).