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Search: id:A071171
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| A071171 |
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L_2 norm of vertices of Permuto-Associahedron in R^n. |
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+0
1
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| 0, 0, 5, 122, 1022, 5122, 18847, 56332, 144924, 332844, 699369, 1367894, 2522234, 4426526, 7449091, 12090616, 19017016, 29097336, 43447053, 63477138, 90949238, 128037338, 177396263, 242237380, 326411860, 434501860, 571919985, 745017390
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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G. M. Ziegler, Lectures on Polytopes, Springer-Verlag, NY, 1995, p. 311.
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FORMULA
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binomial(n+1, 3)*(30*n^4-33*n^2+2)/70.
G.f.: (5*x^2+82*x^3+186*x^4+82*x^5+5*x^6)/(1-x)^8.
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EXAMPLE
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For n=3, the vertices are (9,5,4) and (8,7,3) of norm 122.
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CROSSREFS
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Adjacent sequences: A071168 A071169 A071170 this_sequence A071172 A071173 A071174
Sequence in context: A012046 A012151 A012156 this_sequence A113906 A067081 A013710
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KEYWORD
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nonn,easy
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AUTHOR
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Michael Somos, Jun 10, 2002
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