|
| |
|
|
A013662
|
|
Decimal expansion of zeta(4).
|
|
9
| |
|
|
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; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| zeta(4) = Pi^4/90 = 1.0823232337111381915160036965411679027747... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 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.
|
|
|
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].
S. Plouffe, Plouffe's Inverter, Pi^4/90 to 100000 digits
S. 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.
|
|
|
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 (hjsmithh(AT)sbcglobal.net), Apr 29 2009]
|
|
|
CROSSREFS
| Sequence in context: A021928 A185111 A086058 * A140244 A160105 A167162
Adjacent sequences: A013659 A013660 A013661 * A013663 A013664 A013665
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
EXTENSIONS
| Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
|
| |
|
|
