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A001015 Seventh powers: a(n) = n^7.
(Formerly M5392 N2341)
+0
8
0, 1, 128, 2187, 16384, 78125, 279936, 823543, 2097152, 4782969, 10000000, 19487171, 35831808, 62748517, 105413504, 170859375, 268435456, 410338673, 612220032, 893871739, 1280000000, 1801088541, 2494357888, 3404825447 (list; graph; listen)
OFFSET

0,3

REFERENCES

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

FORMULA

Multiplicative with a(p^e) = p^(7e). - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.

MAPLE

A001015:=(1191*z**4+120*z**5+1191*z**2+2416*z**3+120*z+z**6+1)/(z-1)**8; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Adjacent sequences: A001012 A001013 A001014 this_sequence A001016 A001017 A001018

Sequence in context: A128696 A017678 A123253 this_sequence A050754 A113852 A046456

KEYWORD

nonn,easy,mult

AUTHOR

njas

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 19 2000

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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