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A032768
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Floor( n(n+1)(n+2)(n+3)(n+4) / (n+(n+1)+(n+2)+(n+3)+(n+4)) ).
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3
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0, 8, 36, 100, 224, 432, 756, 1232, 1900, 2808, 4004, 5544, 7488, 9900, 12852, 16416, 20672, 25704, 31600, 38456, 46368, 55440, 65780, 77500, 90720, 105560, 122148, 140616, 161100, 183744, 208692, 236096, 266112, 298900, 334628, 373464, 415584
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1,1,-4,6,-4,1).
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FORMULA
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G.f.: 4*x*(1+x)*(2-x+2*x^2)/((1-x)^5*(1+x+x^2+x^3+x^4)).
a(n) = floor( n(n+1)(n+3)(n+4)/5 ). [Bruno Berselli, Jun 20 2012]
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MATHEMATICA
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CoefficientList[Series[4*x*(1+x)*(2-x+2*x^2)/((1-x)^5*(1+x+x^2+x^3+x^4)), {x, 0, 40}], x] (* Vincenzo Librandi, Jun 20 2012 *)
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PROG
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(MAGMA) [Floor(n*(n+1)*(n+3)*(n+4)/5): n in [0..36]]; // Bruno Berselli, Jun 20 2012
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CROSSREFS
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Cf. A032769, A032770.
Sequence in context: A187287 A224159 A035006 * A224410 A006636 A092365
Adjacent sequences: A032765 A032766 A032767 * A032769 A032770 A032771
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KEYWORD
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nonn,easy
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AUTHOR
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Patrick De Geest, May 15, 1998.
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STATUS
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approved
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