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%I #20 Sep 08 2022 08:44:42
%S 7776,1419857,17210368,90224199,312500000,844596301,1934917632,
%T 3939040643,7339040224,12762815625,21003416576,33038369407,
%U 50049003168,73439775749,104857600000,146211169851,199690286432,267785184193,353305857024,459401384375,589579257376
%N a(n) = (11*n + 6)^5.
%H Vincenzo Librandi, <a href="/A017465/b017465.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F G.f.: (7776 +1373201*x +8807866*x^2 +8104326*x^3 +1029826*x^4 +3125*x^5 )/(1-x)^6. - _Colin Barker_, Sep 17 2012
%F E.g.f.: (7776 +1412081*x +7189215*x^2 +7140815*x^3 +2049740*x^4 + 161051*x^5)*exp(x). - _G. C. Greubel_, Sep 19 2019
%p seq((11*n+6)^5, n=0..30); # _G. C. Greubel_, Sep 19 2019
%t (11*Range[30] -5)^5 (* _G. C. Greubel_, Sep 19 2019 *)
%o (Magma) [(11*n+6)^5: n in [0..30]]; // _Vincenzo Librandi_, Sep 03 2011
%o (PARI) vector(30, n, (11*n-5)^5) \\ _G. C. Greubel_, Sep 19 2019
%o (Sage) [(11*n+6)^5 for n in (0..30)] # _G. C. Greubel_, Sep 19 2019
%o (GAP) List([0..30], n-> (11*n+6)^5); # _G. C. Greubel_, Sep 19 2019
%Y Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), A017464 (m=4), this sequence (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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