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A017456 a(n) = (11*n + 5)^8.

%I A017456 #19 Sep 08 2022 08:44:42
%S A017456 390625,4294967296,282429536481,4347792138496,33232930569601,
%T A017456 167961600000000,645753531245761,2044140858654976,5595818096650401,
%U A017456 13685690504052736,30590228625390625,63527879748485376,124097929967680321,230193853492166656,408485828788939521
%N A017456 a(n) = (11*n + 5)^8.
%H A017456 Vincenzo Librandi, <a href="/A017456/b017456.txt">Table of n, a(n) for n = 0..10000</a>
%H A017456 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A017456 From _G. C. Greubel_, Sep 19 2019: (Start)
%F A017456 G.f.: (390625 +4291451671*x +243788893317*x^2 +1960512320323*x^3 +3909536602339*x^4 +2202777455589*x^5 +315080647543*x^6 +6960640897*x^7 +1679616*x^8)/(1-x)^9.
%F A017456 E.g.f.: (390625 +4294576671*x +136919996257*x^2 +585564673386*x^3 +729964989831*x^4 +353933730150*x^5 +74628778686*x^6 +6781535508*x^7 + 214358881*x^8)*exp(x). (End)
%p A017456 seq((11*n+5)^8, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t A017456 (11Range[0,20]+5)^8  (* _Harvey P. Dale_, Apr 23 2011 *)
%o A017456 (Magma) [(11*n+5)^8: n in [0..20]]; // _Vincenzo Librandi_, Sep 03 2011
%o A017456 (PARI) vector(20, n, (11*n-6)^8) \\ _G. C. Greubel_, Sep 19 2019
%o A017456 (Sage) [(11*n+5)^8 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o A017456 (GAP) List([0..20], n-> (11*n+5)^8); # _G. C. Greubel_, Sep 19 2019
%Y A017456 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), this sequence (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).
%K A017456 nonn,easy
%O A017456 0,1
%A A017456 _N. J. A. Sloane_