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A001016
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Eighth powers: a(n) = n^8.
(Formerly M5426 N2357)
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8
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0, 1, 256, 6561, 65536, 390625, 1679616, 5764801, 16777216, 43046721, 100000000, 214358881, 429981696, 815730721, 1475789056, 2562890625, 4294967296, 6975757441, 11019960576, 16983563041, 25600000000, 37822859361, 54875873536
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Totally multiplicative sequence with a(p) = p^8 for prime p. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Nov 01 2009]
Besides the first term this sequence is the denominator of ((pi)^8)/9450=1+1/256+1/6561+1/65536+1/390625+1/1679616+... - Mohammad K. Azarian, Nov 01 2011
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REFERENCES
| Granino A. Korn and Theresa M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill Book Company, New York (1968), p. 982.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
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FORMULA
| Multiplicative with a(p^e) = p^(8e). - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.
G.f. -x*(1+x)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^9. - R. J. Mathar, Jan 07 2011
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MATHEMATICA
| Table[n^8, {n, 0, 20}] [From Vladimir Orlovsky, Sep 27 2008]
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CROSSREFS
| Sequence in context: A203284 A016900 A017680 * A050755 A046457 A179645
Adjacent sequences: A001013 A001014 A001015 * A001017 A001018 A001019
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KEYWORD
| nonn,easy,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 19 2000
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