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A135917
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(n^6 - 30*n^4 + 45*n^3 + 206*n^2 - 576*n + 384)/6.
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1
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0, 4, 112, 859, 3640, 11250, 28544, 63217, 126704, 235200, 410800, 682759, 1088872, 1676974, 2506560, 3650525, 5197024, 7251452, 9938544, 13404595, 17819800, 23380714, 30312832, 38873289, 49353680, 62083000, 77430704, 95809887, 117680584, 143553190
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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REFERENCES
| Ellingsrud, Geir and Stromme, Stein Arild, Bott's formula and enumerative geometry. J. Amer. Math. Soc. 9 (1996), 175-193. [arXiv:alg-geom/9411005]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 2..1000
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FORMULA
| G.f.: x^3(-4 -84*x -159*x^2 +161*x^3 -29*x^4-5*x^5) / (x-1)^7 [From Harvey P. Dale, Apr 23 2011]
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MATHEMATICA
| Table[(n^6-30n^4+45n^3+206n^2-576n+384)/6, {n, 2, 40}] (* or *) CoefficientList[Series[(-4x-84x^2-159x^3+161x^4-29x^5-5x^6)/ (x-1)^7, {x, 0, 40}], x] (* From Harvey P. Dale, Apr 23 2011 *)
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PROG
| (MAGMA) [(n^6 - 30*n^4 + 45*n^3 + 206*n^2 - 576*n + 384)/6: n in [2..35]]; // Vincenzo Librandi, May 04 2011
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CROSSREFS
| Sequence in context: A181272 A202518 A181485 * A158450 A063406 A013151
Adjacent sequences: A135914 A135915 A135916 * A135918 A135919 A135920
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mar 07 2008
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