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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
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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
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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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LINKS
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Table of n, a(n) for n=0..27.
Index to sequences with linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).
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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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PROG
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(PARI) {a(n) = polcoeff( (5*x^2 + 82*x^3 + 186*x^4 + 82*x^5 + 5*x^6) / (1 - x)^8 + x * O(x^n), n)} /* Michael Somos, Mar 04 2012 */
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CROSSREFS
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Sequence in context: A012151 A012156 A193479 * A113906 A208394 A196425
Adjacent sequences: A071168 A071169 A071170 * A071172 A071173 A071174
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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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STATUS
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approved
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