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

1,1

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.

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

Table of n, a(n) for n=1..88.

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.

Formula

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

Example

2.7182662538699690402476780...

Mathematica

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

Crossrefs

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

Cf. A368618, A368619, A368620, A368621.

Sequence in context: A021372 A170936 A111714 * A060302 A368656 A001113

Adjacent sequences: A368614 A368615 A368616 * A368618 A368619 A368620

Keyword

nonn,cons,easy

Author

Stefano Spezia, Jan 01 2024

Status

approved