This site is supported by donations to The OEIS Foundation.

 Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A261813 Decimal expansion of (Pi/4)^N*(N^N/N!)^2 for N = 3. 1
 9, 8, 1, 0, 5, 7, 9, 7, 3, 0, 8, 7, 6, 1, 1, 4, 9, 7, 7, 3, 9, 6, 8, 0, 2, 8, 1, 4, 2, 0, 0, 0, 5, 0, 8, 2, 5, 7, 0, 4, 0, 9, 5, 2, 1, 0, 2, 9, 9, 5, 8, 4, 8, 5, 6, 3, 5, 0, 4, 2, 0, 2, 5, 9, 4, 0, 7, 4, 9, 2, 1, 4, 1, 8, 5, 4, 3, 8, 3, 5, 5, 0, 9, 4, 8, 8, 3, 8, 9, 9, 8, 5, 9, 7, 0, 0, 6, 9, 5, 9, 5, 1, 3, 4, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The general expression is a lower bound (due to H. Minkowski) on the discriminant of a number field of degree N. The corresponding value for N = 2 matches A091476. REFERENCES B. Mazur, Algebraic Numbers, in The Princeton Companion to Mathematics, Editor T. Gowers, Princeton University Press, 2008, Section IV.1, page 330. LINKS Stanislav Sykora, Table of n, a(n) for n = 1..2000 FORMULA Equals 81*Pi^3/256. EXAMPLE 9.8105797308761149773968028142000508257040952102995848563504202594... MATHEMATICA n = 3; First@ RealDigits[N[(Pi/4)^n (n^n/n!)^2, 120]] (* Michael De Vlieger, Nov 19 2015 *) PROG (PARI) N=3; (Pi/4)^N*(N^N/N!)^2 CROSSREFS Cf. A000796, A091476 (N=2). Sequence in context: A072915 A232737 A155683 * A198920 A244115 A053004 Adjacent sequences:  A261810 A261811 A261812 * A261814 A261815 A261816 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Nov 19 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 17 13:01 EST 2018. Contains 318201 sequences. (Running on oeis4.)