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A017443 a(n) = (11*n + 4)^7.

%I A017443 #12 Dec 29 2024 15:34:21
%S A017443 16384,170859375,8031810176,94931877133,587068342272,2488651484819,
%T A017443 8235430000000,22876792454961,55784660123648,122987386542487,
%U A017443 250226879128704,476837158203125,860542568759296,1483273860320763
%N A017443 a(n) = (11*n + 4)^7.
%H A017443 G. C. Greubel, <a href="/A017443/b017443.txt">Table of n, a(n) for n = 0..1000</a>
%H A017443 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A017443 From _G. C. Greubel_, Sep 18 2019: (Start)
%F A017443 G.f.: (16384 +170728303*x +6665393928*x^2 +35460540721*x^3 +42937032016*x^4 +12375175257*x^5 +605631688*x^6 +823543*x^7)/(1-x)^8.
%F A017443 E.g.f.: (16384 +170842991*x +3845053905*x^2 +11891501391*x^3 +10618678070*x^4 +3526372696*x^5 +458834299*x^6 +19487171*x^7)*exp(x). (End)
%p A017443 seq((11*n+4)^7, n=0..20); # _G. C. Greubel_, Sep 18 2019
%t A017443 (11*Range[40] -7)^7 (* _G. C. Greubel_, Sep 18 2019 *)
%t A017443 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{16384,170859375,8031810176,94931877133,587068342272,2488651484819,8235430000000,22876792454961},20] (* _Harvey P. Dale_, Dec 29 2024 *)
%o A017443 (PARI) vector(20, n, (11*n-7)^7) \\ _G. C. Greubel_, Sep 18 2019
%o A017443 (Magma) [(11*n+4)^7: n in [0..20]]; // _G. C. Greubel_, Sep 18 2019
%o A017443 (Sage) [(11*n+4)^7 for n in (0..20)] # _G. C. Greubel_, Sep 18 2019
%o A017443 (GAP) List([0..20], n-> (11*n+4)^7); # _G. C. Greubel_, Sep 18 2019
%Y A017443 Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), A017440 (m=4), A017441 (m=5), A017442 (m=6), this sequence (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).
%K A017443 nonn,easy
%O A017443 0,1
%A A017443 _N. J. A. Sloane_