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(MAGMAMagma) [n + n*(n-1)*(n-2)*(n-3)*(n-4): n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
reviewed
approved
proposed
reviewed
editing
proposed
G.f.: x*(1 - 4*x + 6*x^2 - 4*x^3 + 121*x^4)/(1-x)^6. [_- _Colin Barker_, Jun 25 2012]
From G. C. Greubel, Aug 26 2019: (Start)
a(n) = n + 5!*binomial(n,5).
E.g.f.: x*(1 + x^4)*exp(x). (End)
seq(n + 5!*binomial(n, 5), n=0..35); # G. C. Greubel, Aug 26 2019
(PARI) vector(35, n, (n-1) + 5!*binomial(n-1, 5)) \\ G. C. Greubel, Aug 26 2019
(Sage) [n + 120*binomial(n, 5) for n in (0..35)] # G. C. Greubel, Aug 26 2019
(GAP) List([0..35], n-> n + 120*Binomial(n, 5)); # G. C. Greubel, Aug 26 2019
approved
editing
reviewed
approved
proposed
reviewed
editing
proposed
a(n) = n + n*(n-1)*(n-2)*(n-3)*(n-4).
G.f.: x*(1 - 4*x + 6*x^2 - 4*x^3 + 121*x^4)/(1-x)^6. [Colin Barker, Jun 25 2012]
(MAGMA) [n + n*(n-1)*(n-2)*(n-3)*(n-4): n in [0..35]]; // _Vincenzo Librandi, _, Apr 30 2011
approved
editing
editing
approved