

A099218


Decimal expansion of Li_4(1/2).


11



5, 1, 7, 4, 7, 9, 0, 6, 1, 6, 7, 3, 8, 9, 9, 3, 8, 6, 3, 3, 0, 7, 5, 8, 1, 6, 1, 8, 9, 8, 8, 6, 2, 9, 4, 5, 6, 2, 2, 3, 7, 7, 4, 7, 5, 1, 4, 1, 3, 7, 9, 2, 5, 8, 2, 4, 4, 3, 1, 9, 3, 4, 7, 9, 7, 7, 0, 0, 8, 2, 8, 1, 5, 8, 1, 8, 6, 4, 9, 7, 6, 9, 3, 6, 4, 8, 5, 7, 7, 7, 8, 2, 6, 5, 6, 0, 9, 0, 0, 6, 4, 7, 7, 2
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OFFSET

0,1


REFERENCES

Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), Section 1.3.2.


LINKS

Table of n, a(n) for n=0..103.
G. Rutledge, R. D. Douglass, Table of definite integrals, Am. Math. Monthly 45 (8) (1938) 525530, eq. (22).


FORMULA

Li_4(1/2)=sum(k>0, 1/2^k/k^4)=0.5174790616738993863...


MAPLE

polylog(4, 1/2) ; evalf(%) ; # R. J. Mathar, Feb 15 2013


MATHEMATICA

RealDigits[ N[ PolyLog[4, 1/2], 104]][[1]] (* JeanFrançois Alcover, Nov 07 2012 *)


PROG

(PARI) polylog(4, 1/2) \\ Charles R Greathouse IV, Jul 14 2014


CROSSREFS

Cf. A076788, A099217, A099219, A099220, A099221, A099222, A099223, A099224.
Sequence in context: A158552 A322050 A021663 * A198129 A244425 A035109
Adjacent sequences: A099215 A099216 A099217 * A099219 A099220 A099221


KEYWORD

cons,nonn


AUTHOR

Benoit Cloitre, Oct 06 2004


EXTENSIONS

Leading zero removed, formula value corrected by R. J. Mathar, Feb 05 2009


STATUS

approved



