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A002938 The minimal sequence (from solving n^3 - m^2 = a(n)).
(Formerly M0033 N0008)
+0
3
0, 1, 2, 0, 4, 9, 18, 17, 0, 24, 35, 36, 12, 40, 11, 0, 13, 56, 30, 79, 45, 39, 67, 100, 0, 113, 83, 48, 53, 104, 138, 7, 163, 100, 26, 0, 28, 116, 217, 9, 248, 104, 17, 80, 79, 8, 139, 297, 0, 316, 155, 17, 119, 145, 89, 55, 293, 252, 170, 225, 405, 184, 47, 0, 49 (list; graph; listen)
OFFSET

1,3

COMMENT

a(n^2)=0 - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 17 2002

REFERENCES

Marshall Hall, Jr., The Diophantine equation x^3-y^2=k, pp. 173-198 of A. O. L. Atkin and B. J. Birch, editors, Computers in Number Theory. Academic Press, NY, 1971.

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).

PROGRAM

(PARI) a(n)=vecmin(vector(ceil(n^(3/2)), i, abs(n^3-i^2)))

CROSSREFS

a(n) = |A077119(n)|.

Sequence in context: A070015 A021492 A077119 this_sequence A111938 A167341 A055978

Adjacent sequences: A002935 A002936 A002937 this_sequence A002939 A002940 A002941

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 17 2002

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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