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A014205
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(1/12)*(n+5)*(n+1)*n^2.
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3
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0, 1, 7, 24, 60, 125, 231, 392, 624, 945, 1375, 1936, 2652, 3549, 4655, 6000, 7616, 9537, 11799, 14440, 17500, 21021, 25047, 29624, 34800, 40625, 47151, 54432, 62524, 71485, 81375, 92256, 104192, 117249, 131495, 147000, 163836, 182077, 201799, 223080, 246000
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OFFSET
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0,3
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COMMENTS
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LINKS
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FORMULA
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G.f.: x*(x^2-2*x-1)/(x-1)^5. - Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009
a(0)=0, a(1)=1, a(2)=7, a(3)=24, a(4)=60, a(n)=5*a(n-1)-10*a(n-2)+ 10*a(n-3)- 5*a(n-4)+a(n-5). - Harvey P. Dale, Aug 10 2014
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MAPLE
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seq(2*binomial(n+3, 4)-binomial(n+1, 2), n=0..32); # Zerinvary Lajos, May 02 2007
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MATHEMATICA
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Table[((n+5)(n+1)n^2)/12, {n, 0, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {0, 1, 7, 24, 60}, 50] (* Harvey P. Dale, Aug 10 2014 *)
CoefficientList[Series[x (x^2 - 2 x - 1)/(x - 1)^5, {x, 0, 50}], x] (* Vincenzo Librandi, Aug 11 2014 *)
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PROG
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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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