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%I A017459 #19 Sep 08 2022 08:44:42
%S A017459 48828125,17592186044416,5559060566555523,238572050223552512,
%T A017459 3909821048582988049,36279705600000000000,231122292121701565271,
%U A017459 1127073856954876807168,4501035456767426597157,15394540563150776827904
%N A017459 a(n) = (11*n + 5)^11.
%H A017459 Vincenzo Librandi, <a href="/A017459/b017459.txt">Table of n, a(n) for n = 0..10000</a>
%H A017459 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).
%F A017459 From _G. C. Greubel_, Sep 19 2019: (Start)
%F A017459 G.f.: (48828125 +17591600106916*x +5347957556678781*x^2 + 173024396961630192*x^3 +1409984186533172778*x^4 +3893323100536505064*x^5 +4065965093212217778*x^6 +1612934439380337744*x^7 +220215589053761433* x^8 +7882270656385972*x^9 +34267542742961*x^10 +362797056*x^11)/(1-x)^12.
%F A017459 E.g.f.: (48828125 +17592137216291*x +2761938121647408*x^2 + 36991274172198511*x^3 +124534035099698400*x^4 +158840151787803530*x^5 + 93615574446397542*x^6 +28270098736853457*x^7 +4580560974275055*x^8 + 396972283518305*x^9 +17118700236660*x^10 +285311670611*x^11)*exp(x). (End)
%p A017459 seq((11*n+5)^11, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t A017459 (11Range[0,20]+5)^11 (* _Harvey P. Dale_, May 12 2011 *)
%o A017459 (Magma) [(11*n+5)^11: n in [0..10]]; // _Vincenzo Librandi_, Sep 03 2011
%o A017459 (PARI) vector(20, n, (11*n-6)^11) \\ _G. C. Greubel_, Sep 19 2019
%o A017459 (Sage) [(11*n+5)^11 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o A017459 (GAP) List([0..20], n-> (11*n+5)^11); # _G. C. Greubel_, Sep 19 2019
%Y A017459 Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), A017452 (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), this sequence (m=11), A017460 (m=12).
%K A017459 nonn,easy
%O A017459 0,1
%A A017459 _N. J. A. Sloane_

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