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A011924
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[ n(n-1)(n-2)(n-3)/14 ].
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0
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0, 0, 0, 0, 1, 8, 25, 60, 120, 216, 360, 565, 848, 1225, 1716, 2340, 3120, 4080, 5245, 6644, 8305, 10260, 12540, 15180, 18216, 21685, 25628, 30085, 35100, 40716, 46980, 53940, 61645, 70148, 79501, 89760
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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FORMULA
| a(n) = +4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4) +a(n-7) -4*a(n-8) +6*a(n-9) -4*a(n-10) +a(n-11). G.f.: x^4*(x^6+4*x^5-x^4+4*x^3-x^2+4*x+1) / ((1-x)^5*(x^6+x^5+x^4+x^3+x^2+x+1) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 15 2010]
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MATHEMATICA
| Table[Floor[(n(n-1)(n-2)(n-3))/14], {n, 0, 40}] (* or *) LinearRecurrence[ {4, -6, 4, -1, 0, 0, 1, -4, 6, -4, 1}, {0, 0, 0, 0, 1, 8, 25, 60, 120, 216, 360}, 41] (* From Harvey P. Dale, Jul 07 2011 *)
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CROSSREFS
| Sequence in context: A131423 A143371 A004640 * A169831 A127813 A035073
Adjacent sequences: A011921 A011922 A011923 * A011925 A011926 A011927
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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