A177056 -id:A177056 - cp's OEIS frontend

A177057 Decimal expansion of 7/6.

1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset: 1

Vincenzo Librandi, May 26 2010

7/6 is the 14th Bernoulli number. - Jean-François Alcover, Dec 24 2013

			1.16666666666...

Michael I. Shamos, A catalog of the real numbers, (2007). See pp. 208-209.
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A177022, A177056.

RealDigits[7/6,10,120][[1]] (* or *) PadRight[{1,1},120,{6}] (* Harvey P. Dale, Nov 20 2023 *)

From Elmo R. Oliveira, Aug 03 2024: (Start)
G.f.: x*(1 + x) + 6*x^3/(1 - x).
E.g.f.: 6*exp(x) - 5*(1 + x).
a(n) = 6, n >= 3. (End)
Equals zeta(4)^2/zeta(8) = Sum_{k>=1} 2^omega(k)/k^4 = Product_{p prime} (p^4 + 1)/(p^4 - 1). See Shamos link. - Stefano Spezia, Oct 05 2024

Edited by Rick L. Shepherd, Jun 17 2010

A143618 Decimal expansion of 127/216.

Original entry on oeis.org

5, 8, 7, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2

Offset: 0

Rick L. Shepherd and N. J. A. Sloane, Jun 18 2010

			.58796296296296296296296296296296296296296296296296296296296...

Index entries for linear recurrences with constant coefficients, signature (0,0,1).

A companion to A177056.

PadRight[{5, 8, 7}, 100, {9, 6, 2}] (* Paolo Xausa, Apr 24 2024 *)

127/216. \\ Charles R Greathouse IV, Mar 25 2014

a(n) = A177056(n+2). - Paolo Xausa, Apr 24 2024
From Elmo R. Oliveira, Aug 05 2024: (Start)
G.f.: (5 + 8*x + 7*x^2 + 4*x^3 - 2*x^4 - 5*x^5)/((1 - x)*(1 + x + x^2)).
a(n) = a(n-3), n > 5. (End)

A375743 Decimal expansion of 30547/21600.

Original entry on oeis.org

1, 4, 1, 4, 2, 1, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2

Offset: 1

Stefano Spezia, Aug 26 2024

Babylonian approximation of sqrt(2) accurate to fifth decimal digit.
Wells erroneously gives the value: 1.4142155... .
Periodic of period 3.

			1.41421296296296296296296296296296296296...

John H. Conway and Richard K. Guy, The Book of Numbers, New York: Springer-Verlag, 1996. See p. 182.
David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See pp. 34-35.

Index entries for linear recurrences with constant coefficients, signature (0,0,1).

Cf. A002193.

Cf. A021220, A143618, A177056.

Mathematica
```
RealDigits[30547/21600,10,100][[1]]
```

Equals 1 + 24/60 + 51/60^2 + 10/60^3. See Wells.

G.f.: (1 + 4*x + x^2 + 3*x^3 - 2*x^4 - 2*x^6 + 7*x^7 + 5*x^8)/(1 - x^3).

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A177057 Decimal expansion of 7/6.

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A143618 Decimal expansion of 127/216.

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A375743 Decimal expansion of 30547/21600.

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