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Search: id:A152618
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| 1, 0, 3, 16, 45, 96, 175, 288, 441, 640, 891, 1200, 1573, 2016, 2535, 3136, 3825, 4608, 5491, 6480, 7581, 8800, 10143, 11616, 13225, 14976, 16875, 18928, 21141, 23520, 26071, 28800, 31713, 34816, 38115, 41616, 45325, 49248, 53391, 57760, 62361
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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For n>0 this is the same under substitution of variables as d(d-2)^2, the number of connected components in Bertrand et al.: "We construct a polynomial of degree d in two variables whose Hessian curve has (d-2)^2 connected components using Viro patchworking. In particular, this implies the existence of a smooth real algebraic surface of degree d in RP^3 whose parabolic curve is smooth and has d(d-2)^2 connected components." [From Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 30 2009]
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LINKS
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Benoit Bertrand, Erwan Brugalle', On the number of connected components of the parabolic curve, Apr 29, 2009. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 30 2009]
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CROSSREFS
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Sequence in context: A081270 A147874 A092466 this_sequence A004320 A089363 A000574
Adjacent sequences: A152615 A152616 A152617 this_sequence A152619 A152620 A152621
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 09 2008
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