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A046001 Maximal number of ordinary double points on an n-th degree algebraic surface in complex projective 3-space. 0
0, 1, 4, 16, 31, 65 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

S. Endrass, Flaechen mit vielen Doppelpunkten. DMV-Mitteilungen 4 (April 1995), 17-20.

LINKS

S. Endrass, Surfaces with many ordinary nodes

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

EXAMPLE

For n = 3 there is a unique surface of degree 3 with 4 double points, Cayley's cubic: 4(w^3+x^3+y^3+z^3) = (w+x+y+z)^3.

CROSSREFS

Sequence in context: A173019 A031003 A036345 * A031050 A119677 A126032

Adjacent sequences:  A045998 A045999 A046000 * A046002 A046003 A046004

KEYWORD

nonn,nice,hard

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

For n >= 7 lower bounds are 93,168,216,345; upper bounds are 104, 174, 246, 360

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.