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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A245532 Decimal expansion of b_3, a constant associated with the 3rd Du Bois Reymond constant. 1
 0, 1, 7, 3, 2, 7, 1, 4, 0, 5, 4, 7, 3, 6, 6, 9, 9, 1, 2, 8, 8, 0, 8, 3, 1, 8, 9, 8, 6, 9, 0, 6, 7, 3, 9, 9, 0, 7, 0, 9, 5, 8, 3, 6, 0, 6, 3, 6, 4, 3, 2, 1, 4, 5, 1, 3, 0, 4, 9, 2, 1, 6, 3, 3, 6, 8, 3, 4, 6, 0, 0, 3, 2, 4, 2, 1, 6, 7, 2, 6, 3, 1, 2, 7, 4, 1, 2, 3, 4, 3, 8, 3, 0, 6, 2, 0, 3, 9, 5, 0, 3, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.12 Du Bois Reymond Constants, pp. 238-239. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Eric Weisstein's World of Mathematics, du Bois-Reymond Constants. FORMULA b_3 = (-1/4)*(e^3 - 3*e - 12). Equals 2*sum((-1)^(n+1)/(1+xi(n)^2)^(3/2), (n=1..infinity)), where xi(n) is the n-th positive solution to tan(x)=x. EXAMPLE 0.017327140547366991288083189869067399070958360636432145130492163368346... MAPLE Digits:=100: evalf((-1/4)*(exp(3)-3*exp(1)-12)); # Wesley Ivan Hurt, Jul 26 2014 MATHEMATICA b3 = (-1/4)*(E^3 - 3*E - 12); Join[{0}, RealDigits[b3, 10, 101] // First] PROG (PARI) (12+3*exp(1)-exp(3))/4 \\ Charles R Greathouse IV, Jul 25 2014 CROSSREFS Cf. A224196. Sequence in context: A309387 A298530 A243377 * A324714 A075564 A303670 Adjacent sequences: A245529 A245530 A245531 * A245533 A245534 A245535 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Jul 25 2014 STATUS approved

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

Last modified November 29 19:34 EST 2023. Contains 367447 sequences. (Running on oeis4.)