cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 15 results. Next

A132714 Decimal expansion of 24/Pi.

Original entry on oeis.org

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

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Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			=7.639437268410976116906420641880689377654062995541909539888032514827...
		

Crossrefs

Programs

Formula

24/Pi = Sum_{k>=0} ( (30*k+7)*C(2*k,k)^2*(Hypergeometric2F1[1/2 - k/2, -k/2, 1, 64])/(-256)^k ). - Alexander R. Povolotsky, Dec 20 2012
Another version of this identity is: Sum[(30*k+7) * Binomial[2k,k]^2 * (Sum[Binomial[k-m,m] * Binomial[k,m] * 16^m, {m,0,k/2}])/(256)^k, {k,0,infinity}]. - Alexander R. Povolotsky, Jan 25 2013

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 03 2009

A132721 Decimal expansion of 31/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			9.867606471697510817670793...
		

Crossrefs

Programs

Extensions

Terms a(32) and beyond from Andrew Howroyd, Jan 03 2020

A132717 Decimal expansion of 27/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			8.59436692696234813151972322211577554986082086998464...
		

Crossrefs

Programs

A132703 Decimal expansion of 13/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			4.138028520389278729990977847685373412895950789251867667439350945531316738....
		

Crossrefs

Programs

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 02 2009

A132704 Decimal expansion of 14/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			4.45633840657306940152874537443040213696487008073278056493468563364911033....
		

Crossrefs

Programs

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 02 2009
More terms from Harvey P. Dale, Oct 03 2012

A132706 Decimal expansion of 16/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			5.092958178940650744604280427920459585102708663694606359925355....
		

References

  • Bruce C. Berndt, Ramanujan’s Notebooks, Part II, Springer-Verlag, New York, 1989.

Crossrefs

Programs

Formula

Equals 4 + Sum_{k>=0} binomial(2*k,k)^2/((k+1)^2*16^k). - Amiram Eldar, May 21 2021
16/Pi = 5 + 1^2/(10 + 3^2/(10 + 5^2/(10 + ...))). See Berndt, Entry 25, p. 140, with n = 0 and x = 5. - Peter Bala, Feb 18 2024

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 02 2009

A132707 Decimal expansion of 17/Pi.

Original entry on oeis.org

5, 4, 1, 1, 2, 6, 8, 0, 6, 5, 1, 2, 4, 4, 4, 1, 4, 1, 6, 1, 4, 2, 0, 4, 7, 9, 5, 4, 6, 6, 5
Offset: 1

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			5.4112680651244414161420479546654883091716279551755192574206896980024911195637....
		

Crossrefs

Programs

A132709 Decimal expansion of 19/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			6.04788783749202275921758300815554575730946653813734505241135907423807831010....
		

Crossrefs

Programs

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 02 2009

A132711 Decimal expansion of 21/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			6.6845076098596041022931180616456032054473051210991708474020284504736655006....
		

Crossrefs

Programs

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 02 2009

A132712 Decimal expansion of 22/Pi.

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Aug 31 2007

Keywords

Examples

			7.002817496043394773830885588390631929516224412580083744897363138591459095....
		

Crossrefs

Programs

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 03 2009
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