|
| |
|
|
A013662
|
|
Decimal expansion of zeta(4).
|
|
10
|
|
|
|
1, 0, 8, 2, 3, 2, 3, 2, 3, 3, 7, 1, 1, 1, 3, 8, 1, 9, 1, 5, 1, 6, 0, 0, 3, 6, 9, 6, 5, 4, 1, 1, 6, 7, 9, 0, 2, 7, 7, 4, 7, 5, 0, 9, 5, 1, 9, 1, 8, 7, 2, 6, 9, 0, 7, 6, 8, 2, 9, 7, 6, 2, 1, 5, 4, 4, 4, 1, 2, 0, 6, 1, 6, 1, 8, 6, 9, 6, 8, 8, 4, 6, 5, 5, 6, 9, 0, 9, 6, 3, 5, 9, 4, 1, 6, 9, 9, 9, 1
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,3
|
|
|
COMMENTS
|
zeta(4) = Pi^4/90 = 1.0823232337111381915160036965411679027747... [From Harry J. Smith, Apr 29 2009]
|
|
|
REFERENCES
|
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 811.
R. Mestrovic, Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof, Arxiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012
|
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=1,...,20000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
_Simon Plouffe_, Plouffe's Inverter, Pi^4/90 to 100000 digits
_Simon Plouffe_, Zeta(4) or Pi^4/90 to 10000 places
D. H. Bailey, J. M. Borwein and D. M. Bradley, Experimental determination of Ap'ery-like identities for zeta(4n+2)
L. Euler, On the sums of series of reciprocals
L. Euler, De summis serierum reciprocarum, E41.
|
|
|
MATHEMATICA
|
RealDigits[Zeta[4], 10, 120][[1]] (* Harvey P. Dale, Dec 18 2012 *)
|
|
|
PROG
|
(PARI) { default(realprecision, 20080); x=Pi^4/90; for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b013662.txt", n, " ", d)); } [From Harry J. Smith, Apr 29 2009]
(Maxima) ev(zeta(4), numer) ; /* R. J. Mathar, Feb 27 2012 */
|
|
|
CROSSREFS
|
Sequence in context: A021928 A185111 A086058 * A222225 A140244 A160105
Adjacent sequences: A013659 A013660 A013661 * A013663 A013664 A013665
|
|
|
KEYWORD
|
cons,nonn
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
Fixed my PARI program, had -n Harry J. Smith, May 19 2009
|
|
|
STATUS
|
approved
|
| |
|
|
