A019673 -id:A019673 - cp's OEIS frontend

A132744 Decimal expansion of Pi/28.

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

Offset: 0

Omar E. Pol, Aug 27 2007

			0.112199737628...

Index entries for transcendental numbers

Cf. A000796, A019673.

RealDigits[Pi/28,10,120][[1]] (* Harvey P. Dale, Feb 23 2012 *)

Pi/28 \\ Charles R Greathouse IV, Oct 01 2022

More terms from Harvey P. Dale, Feb 23 2012

A325744 First term of n-th difference sequence of (floor(Pi*k/6)), k >= 0.

Original entry on oeis.org

0, 1, -2, 4, -8, 16, -32, 64, -128, 256, -512, 1024, -2048, 4096, -8192, 16384, -32768, 65536, -131072, 262144, -524288, 1048576, -2097151, 4194280, -8388307, 16774590, -33536530, 67007280, -133718550, 266253060, -528213975, 1042120800, -2039889435

Offset: 1

Clark Kimberling, Jun 06 2019

Clark Kimberling, Table of n, a(n) for n = 1..200

Cf. A019673, A325664.

Table[First[Differences[Table[Floor[(Pi/6)*n], {n, 0, 50}], n]], {n, 1, 50}]

A381672 Decimal expansion of the isoperimetric quotient of a regular icosahedron.

Original entry on oeis.org

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

Offset: 0

Paolo Xausa, Mar 03 2025

For the definition of isoperimetric quotient of a solid, see A381671.

			0.8287977192520120215005810038129635758617830308723...

Paolo Xausa, Table of n, a(n) for n = 0..10000

Cf. A273637 (sphericity).
Cf. isoperimetric quotient of other Platonic solids: A019673 (cube), A073010 (octahedron), A374772 (dodecahedron), A381671 (tetrahedron).
Cf. A000796, A002194, A374883.

First[RealDigits[Pi*GoldenRatio^4/(15*Sqrt[3]), 10, 100]]

Equals Pi*phi^4/(15*sqrt(3)) = A000796*A374883/(15*A002194).

A210975 Decimal expansion of square root of (Pi/6).

Original entry on oeis.org

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

Offset: 0

Omar E. Pol, Aug 09 2012

Edge of a cube with surface area Pi.

			0.723601254558267659363...

G. C. Greubel, Table of n, a(n) for n = 0..5000
I. S. Gradsteyn, I. M. Ryzhik, Table of integrals, series and products, (1980), page 420 (formulas 3.757.1, 3.757.2).
Index entries for transcendental numbers

Cf. A019673.

sqrt(Pi/6) ; evalf(%) ; # R. J. Mathar, Sep 14 2012

RealDigits[Sqrt[Pi/6], 10, 50][[1]] (* G. C. Greubel, May 31 2017 *)

sqrt(Pi/6) \\ Charles R Greathouse IV, Apr 16 2014

Equals (Pi/6)^(1/2).
Equals sqrt(A019673).
From A.H.M. Smeets, Sep 22 2018: (Start)
Equals Integral_{x >= 0} sin(3x)/sqrt(x) dx [Gradshteyn and Ryzhik].
Equals Integral_{x >= 0} cos(3x)/sqrt(x) dx [Gradshteyn and Ryzhik]. (End)

A268508 Decimal expansion of Pi*sqrt(3)/8.

Original entry on oeis.org

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

Offset: 0

Stanislav Sykora, Apr 16 2016

Atomic packing factor (APF) for the body-centered cubic lattice (bcc), one of the very common crystallographic lattice types of chemical elements and compounds.

			0.68017476158783169397277934661580839960652484303477771583870685077...

Stanislav Sykora, Table of n, a(n) for n = 0..2000
Eric Weisstein's World of Mathematics, Cubic Close Packing
Eric Weisstein's World of Mathematics, Sphere Packing
Wikipedia, Atomic packing factor
Index entries for transcendental numbers

Cf. A000796 (Pi), A002194 (sqrt(3)), A180317 (sqrt(3)/80).

APF's of other lattices: A093825 (fcc,hcp), A019673 (simple cubic), A247446 (diamond cubic).

RealDigits[Pi Sqrt[3]/8, 10, 120][[1]] (* Eric W. Weisstein, Jan 04 2019 *)

PARI
```
Pi*sqrt(3)/8
```

A386522 Decimal expansion of the number of radians in a minute of arc.

Original entry on oeis.org

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

Offset: 0

Jason Bard, Aug 21 2025

			0.00029088820866572159615394846141476878557381198142362...

Jason Bard, Table of n, a(n) for n = 0..10002
Michael I. Shamos, A catalog of the real numbers, (2007). See p. 21.

Cf. A000796, A019673, A019679, A019685.

Join[{0,0,0},RealDigits[Pi/10800, 10, 100][[1]]]

Equals Pi/10800.

Equals A019685/60.

A228715 Decimal expansion of 1 - Pi/6.

Original entry on oeis.org

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

Offset: 0

Omar E. Pol, Sep 24 2013

Volume between a regular hexahedron and the inscribed sphere of diameter 1.

			0.47640122440170112692289276945341618596713843343748...

Index entries for transcendental numbers

Cf. A019673.

RealDigits[1-Pi/6,10,120][[1]] (* Harvey P. Dale, Mar 24 2014 *)

1 - Pi/6 \\ Charles R Greathouse IV, Oct 01 2022

1 - 4*Pi*(1/2)^3/3 = 1 - A019673.

A336199 Decimal expansion of the distance between the centers of two unit-radius spheres such that the volume of intersection is equal to the sum of volumes of the two nonoverlapping parts.

Original entry on oeis.org

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

Offset: 0

Amiram Eldar, Jul 11 2020

Solution to the three-dimensional version of Mrs. Miniver's problem.

The intersection volume is equal to 2/3 of the volume of each sphere, i.e., 8*Pi/9.

			0.452147427578415981828610831183181263247509153259677...

Eric Weisstein's World of Mathematics, Sphere-Sphere Intersection.
Wikipedia, Mrs. Miniver's problem.

Cf. A019673, A019699, A133749, A156546, A255899.

RealDigits[4 * Sin[ArcCos[-1/3]/3 - Pi/6], 10, 100][[1]]

Equals 4 * sin(arccos(-1/3)/3 - Pi/6).

The smaller of the two positive roots of the equation x^3 - 12*x + 16/3 = 0.

cp's OEIS Frontend

A132744 Decimal expansion of Pi/28.

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A325744 First term of n-th difference sequence of (floor(Pi*k/6)), k >= 0.

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A381672 Decimal expansion of the isoperimetric quotient of a regular icosahedron.

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A210975 Decimal expansion of square root of (Pi/6).

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A268508 Decimal expansion of Pi*sqrt(3)/8.

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A386522 Decimal expansion of the number of radians in a minute of arc.

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A228715 Decimal expansion of 1 - Pi/6.

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A336199 Decimal expansion of the distance between the centers of two unit-radius spheres such that the volume of intersection is equal to the sum of volumes of the two nonoverlapping parts.

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