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A002377 Least number of 4th powers to represent n.
(Formerly M0471 N0172)
+0
21
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 5, 1, 2, 3 (list; graph; listen)
OFFSET

1,2

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.

C. A. Bretschneider, Zerlegung der Zahlen bis 4100 in Biquadrate, J. Riene Angew. Math., 46 (1853), 1-28.

D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 82.

LINKS

T. D. Noe, Table of n, a(n) for n=1..14000

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.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

MAPLE

A002377:=1/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Cf. A099591.

Sequence in context: A124196 A139179 A130909 this_sequence A053836 A025483 A053165

Adjacent sequences: A002374 A002375 A002376 this_sequence A002378 A002379 A002380

KEYWORD

nonn,nice

AUTHOR

njas

EXTENSIONS

More terms from Arlin Anderson (starship1(AT)gmail.com)

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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