|
%I #21 Sep 08 2022 08:44:42
%S 134217728,322687697779,19683000000000,327381934393961,
%T 2779905883635712,15633814156853823,66540410775079424,
%U 231616946283203125,692533995824480256,1838459212420154507,4435453859151328768,9892530380752880769,20661046784000000000,40812436757196811351
%N a(n) = (11*n + 8)^9.
%H G. C. Greubel, <a href="/A017493/b017493.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
%F From _G. C. Greubel_, Sep 22 2019: (Start)
%F G.f.: (134217728 +321345520499*x +16462162819970*x^2 +145056774666656*x^3 +353127201685502*x^4 +272712961891082*x^5 +64342728755486*x^6 + 3608087683520*x^7 +20660849954*x^8 +19683*x^9)/(1-x)^10.
%F E.g.f.: (134217728 +322553480051*x +9518879411085*x^2 +44883477211595*x^3 +66132730395270*x^4 +40107394890717*x^5 +11363589456450*x^6 + 1566417779322*x^7 +100319956308*x^8 +2357947691*x^9)*exp(x). (End)
%p seq((11*n+8)^9, n=0..20); # _G. C. Greubel_, Sep 22 2019
%t (11Range[0,10]+8)^9 (* _Harvey P. Dale_, Apr 06 2011 *)
%o (Maxima) makelist( (11*n+8)^9, n, 0, 30); /* _Martin Ettl_, Oct 21 2012 */
%o (PARI) vector(20, n, (11*n-3)^9) \\ _G. C. Greubel_, Sep 22 2019
%o (Magma) [(11*n+8)^9: n in [0..20]]; // _G. C. Greubel_, Sep 22 2019
%o (Sage) [(11*n+8)^9 for n in (0..20)] # _G. C. Greubel_, Sep 22 2019
%o (GAP) List([0..20], n-> (11*n+8)^9); # _G. C. Greubel_, Sep 22 2019
%Y Powers of the form (11*n+8)^m: A017485 (m=1), A017486 (m=2), A017487 (m=3), A017488 (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), this sequence (m=9), A017494 (m=10), A017495 (m=11), A017496 (m=12).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
%E More terms added by _G. C. Greubel_, Sep 22 2019
|
