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 1-2 of 2 results.

A210963 Decimal expansion of sqrt(163).

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Jun 26 2012

Keywords

Comments

Also decimal expansion of log(R_c)/Pi, where R_c is Ramanujan's constant: 262537412640768743.999999999999250... = A060295.

Examples

			163^(1/2) = 12.76714533480370466171095200978...
		

Crossrefs

Programs

  • Mathematica
    RealDigits[Sqrt[163], 10, 105][[1]] (* T. D. Noe, Jun 27 2012 *)
  • PARI
    sqrt(163) \\ Michel Marcus, Mar 26 2017

A210965 Decimal expansion of k such that e^(Pi*k) = round(e^(Pi*sqrt(163))).

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Jun 26 2012

Keywords

Comments

Decimal expansion of k = log(262537412640768744)/Pi.
Note that 262537412640768744 = 24*10939058860032031 = 2^3 * 3 * 10939058860032031, is the nearest integer to the value of Ramanujan's constant e^(Pi*sqrt(163)) = A060295.
By construction, this constant here is very close to sqrt(163) = A210963.

Examples

			12.767145334803704661710952...
		

Crossrefs

Programs

  • Mathematica
    RealDigits[Log[262537412640768744]/Pi,10,120][[1]] (* Harvey P. Dale, Nov 12 2017 *)

Formula

Equals log(round(e^(Pi*sqrt(163))))/Pi.
Showing 1-2 of 2 results.