A125628 Version of sexagesimal expansion of 2*Pi given by the Persian mathematician Al-Kashi in the 15th Century.

6, 16, 59, 28, 1, 34, 51, 46, 14, 50

Offset

1,1

Comments

The last digit is rounded up from 49, 55 (cf. A091649). - Georg Fischer, Aug 04 2021

References

Mohammad K. Azarian, Al-Risala al-Muhitiyya: A Summary, Missouri Journal of Mathematical Sciences, Vol. 22, No. 2, 2010, pp. 64-85.

Mohammad K. Azarian, The Introduction of Al-Risala al-Muhitiyya: An English Translation, International Journal of Pure and Applied Mathematics, Vol. 57, No. 6, 2009 , pp. 903-914.

Mohammad K. Azarian, Al-Kashi's Fundamental Theorem, International Journal of Pure and Applied Mathematics, Vol. 14, No. 4, 2004, pp. 499-509. Mathematical Reviews, MR2005b:01021 (01A30), February 2005, p. 919. Zentralblatt MATH, Zbl 1059.01005.

Mohammad K. Azarian, Meftah al-hesab: A Summary, MJMS, Vol. 12, No. 2, Spring 2000, pp. 75-95. Mathematical Reviews, MR 1 764 526. Zentralblatt MATH, Zbl 1036.01002.

Mohammad K. Azarian, A Summary of Mathematical Works of Ghiyath ud-din Jamshid Kashani, Journal of Recreational Mathematics, Vol. 29(1), pp. 32-42, 1998.

Links

Table of n, a(n) for n=1..10.

Wikipedia, Computation of 2 Pi

Example

2*Pi ~= 6; 16, 59, 28, 1, 34, 51, 46, 14, 50.

Crossrefs

Cf. A000796, A011545, A037000, A091649.

Cf. A159991. - Reinhard Zumkeller, May 02 2009

Sequence in context: A163302 A223028 A091649 * A078672 A219817 A120795

Adjacent sequences: A125625 A125626 A125627 * A125629 A125630 A125631

Keyword

nonn,base,fini,full

Author

Mohammad K. Azarian, Apr 08 2008

Status

approved