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A007480 Denominators of Sum k^(-4); k = 1..n.
(Formerly M5028)
+0
10
1, 16, 1296, 20736, 12960000, 12960000, 31116960000, 497871360000, 40327580160000, 40327580160000, 590436101122560000, 590436101122560000, 16863445484161436160000, 16863445484161436160000, 16863445484161436160000 (list; graph; listen)
OFFSET

1,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

D. Y. Savio, E. A. Lamagna and S.-M. Liu, Summation of harmonic numbers, pp. 12-20 of E. Kaltofen and S. M. Watt, editors, Computers and Mathematics, Springer-Verlag, NY, 1989.

LINKS

T. D. Noe, Table of n, a(n) for n=1..200

MATHEMATICA

s=0; lst={}; Do[s+=n^1/n^5; AppendTo[lst, Denominator[s]], {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 24 2009]

CROSSREFS

Cf. A007410.

Sequence in context: A072161 A163929 A072914 this_sequence A163395 A134375 A057994

Adjacent sequences: A007477 A007478 A007479 this_sequence A007481 A007482 A007483

KEYWORD

nonn,easy,frac

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein

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


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