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A064202
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a(n) = n*(n+1)*(n+2)*(2*n^3 + 6*n^2 + 7*n - 3)/36.
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1
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0, 2, 34, 210, 830, 2520, 6412, 14364, 29220, 55110, 97790, 165022, 266994, 416780, 630840, 929560, 1337832, 1885674, 2608890, 3549770, 4757830, 6290592, 8214404, 10605300, 13549900, 17146350, 21505302, 26750934, 33022010
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OFFSET
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0,2
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REFERENCES
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L. Berzolari, Allgemeine Theorie der Höheren Ebenen Algebraischen Kurven, Encyclopädie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Band III_2. Heft 3, Leipzig: B. G. Teubner, 1906. p. 352.
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LINKS
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FORMULA
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G.f.: 2*x*(1+10*x+7*x^2+2*x^3)/(1-x)^7. - Colin Barker, Feb 28 2012
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MATHEMATICA
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Table[n*(n+1)*(n+2)*(2*n^3+6*n^2+7*n-3)/36, {n, 0, 40}] (* Vincenzo Librandi, Feb 29 2012 *)
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PROG
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(Magma) [n*(n+1)*(n+2)*(2*n^3 + 6*n^2 + 7*n -3)/36: n in [0..30]]; // Vincenzo Librandi, Feb 29 2012
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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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Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Sep 22 2001
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STATUS
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approved
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