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A038376
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a(n) = (n-3)*A006918(n)/2.
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1
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0, 0, 0, 0, 1, 5, 12, 28, 50, 90, 140, 220, 315, 455, 616, 840, 1092, 1428, 1800, 2280, 2805, 3465, 4180, 5060, 6006, 7150, 8372, 9828, 11375, 13195, 15120, 17360, 19720, 22440, 25296, 28560, 31977, 35853, 39900, 44460, 49210, 54530, 60060, 66220, 72611
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,6
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REFERENCES
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K. B. Reid and L. W. Beineke "Tournaments", pp. 169-204 in L. W. Beineke and R. J. Wilson, editors, Selected Topics in Graph Theory, Academic Press, NY, 1978, p. 186 Theorem 6.11.
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LINKS
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FORMULA
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a(n) = (n^4-3*n^3-4*n^2+12*n)/48 for n even.
a(n) = (n^4-3*n^3-n^2+3*n)/48 for n odd.
a(n) = 2*a(n-1) + 2*a(n-2) - 6*a(n-3) + 6*a(n-5) - 2*a(n-6) - 2*a(n-7) + a(n-8) for n>7.
G.f.: x^4*(1+3*x) / ((1-x)^5 * (1+x)^3)
(End)
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PROG
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(PARI) concat(vector(4), Vec(x^4*(1+3*x) / ((1-x)^5 * (1+x)^3) + O(x^100))) \\ Colin Barker, Nov 19 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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