The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A086311 Decimal expansion of constant appearing in the variance for searching in a digital tree. 3
 2, 8, 4, 4, 3, 8, 3, 1, 6, 8, 1, 1, 6, 7, 5, 6, 1, 6, 8, 2, 1, 6, 2, 2, 5, 7, 2, 3, 1, 4, 1, 0, 0, 8, 2, 6, 6, 4, 8, 9, 0, 3, 8, 5, 3, 0, 9, 0, 8, 7, 1, 0, 7, 7, 4, 3, 9, 5, 5, 3, 7, 5, 4, 6, 6, 6, 3, 6, 8, 1, 9, 0, 2, 3, 9, 4, 2, 4, 1, 2, 7, 7, 7, 4, 8, 8, 2, 1, 9, 5, 7, 9, 1, 7, 1, 8, 4, 8, 8, 0, 2, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.14 Digital Search Tree Constants, p. 356. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Eric Weisstein's World of Mathematics, Tree Searching FORMULA 1/12 + (Pi^2+6)/(6*log(2)^2) - alpha - beta, where gamma is Euler's constant, alpha is the Erdős-Borwein constant (A065442) and beta is A065443. - Jean-François Alcover, Jul 29 2014, after Steven Finch EXAMPLE 2.84438316811675616821622572314100826648903853090871... MATHEMATICA digits = 102; alpha = NSum[1/(2^k-1), {k, 1, 500}, NSumTerms -> 100, WorkingPrecision -> digits+10]; beta = NSum[1/(2^k-1)^2, {k, 1, 500}, NSumTerms -> 100, WorkingPrecision -> digits+10]; RealDigits[1/12 + (Pi^2+6)/(6*Log[2]^2) - alpha - beta, 10, digits] // First CROSSREFS Cf. A086312. Sequence in context: A373098 A254446 A197486 * A194940 A195920 A227334 Adjacent sequences: A086308 A086309 A086310 * A086312 A086313 A086314 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Jul 15 2003 STATUS approved

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

Last modified September 19 04:22 EDT 2024. Contains 376004 sequences. (Running on oeis4.)