PROG
(MAGMAMagma) [(3*n)^3: n in [0..40]]; // Vincenzo Librandi, Jul 29 2011
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(MAGMAMagma) [(3*n)^3: n in [0..40]]; // Vincenzo Librandi, Jul 29 2011
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a(n) = -a(-n) for all n in Z. - Michael Somos, Sep 16 2018
G.f. = 27*x + 216*x^2 + 729*x^3 * 1728*x^4 + 3375*x^5 + 5832*x^6 + ... - Michael Somos, Sep 16 2018
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a(n) = (3*n)^3.
a(n) = 27*A000578(n); for n>0: A020639(a(n))=A010693(n). [From Reinhard Zumkeller, Jan 29 2009]
a(n) = A155955(n,3) for n>2. [From Reinhard Zumkeller, Jan 31 2009]
From Reinhard Zumkeller, Jan 29 2009: (Start)
a(n) = 27*A000578(n), for n>0.
A020639(a(n)) = A010693(n). (End)
a(n) = A155955(n,3) for n>2. - Reinhard Zumkeller, Jan 31 2009
E.g.f.: 27*x*(1 + 3*x + x^2)*exp(x). - G. C. Greubel, Sep 15 2018
Table[(3*n)^3, {n, 0, 30}] (* G. C. Greubel, Sep 15 2018 *)
(MAGMA) [(3*n)^3: n in [0..40]]; // _Vincenzo Librandi, _, Jul 29 2011
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G.f.: 27*x*(1+4*x+x^2)/(x-1)^4 . - R. J. Mathar, Jul 07 2017
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<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).