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A013662 Decimal expansion of zeta(4). +0
5
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; cons; graph; listen)
OFFSET

1,3

COMMENT

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.

PROGRAM

(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: A072691 A021928 A086058 this_sequence A140244 A160105 A167162

Adjacent sequences: A013659 A013660 A013661 this_sequence 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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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