%I #18 Sep 08 2022 08:44:42
%S 282475249,3570467226624,420707233300201,10485760000000000,
%T 119042423827613001,839299365868340224,4297625829703557649,
%U 17490122876598091776,59873693923837890625,179084769654285362176,480682838924478847449,1180591620717411303424,2692452204196940400601
%N a(n) = (11*n + 7)^10.
%H Vincenzo Librandi, <a href="/A017482/b017482.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F From _G. C. Greubel_, Sep 19 2019: (Start)
%F G.f.: (282475249 +3567359998885*x +381447629946032*x^2 +6054309522746024* x^3 +26248927783563266*x^4 +38310933951284930*x^5 +19699677304461320*x^6 +3287461918700048*x^7 +134823999028181*x^8 +576638856289*x^9 +1048576* x^10)/(1-x)^11.
%F E.g.f.: (282475249 +3570184751375*x +206783290661101*x^2 + 1539058236550670*x^3 +3317056068374290*x^4 +2872963553757759*x^5 +1172277747064347*x^6 +242804694252120 x^7 +25867757964675*x^8 +1332240445415*x^9 +25937424601*x^10)*exp(x). (End)
%p seq((11*n+7)^10, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t (11*Range[21] -4)^10 (* _G. C. Greubel_, Sep 19 2019 *)
%t LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{282475249,3570467226624,420707233300201,10485760000000000,119042423827613001,839299365868340224,4297625829703557649,17490122876598091776,59873693923837890625,179084769654285362176,480682838924478847449},30] (* _Harvey P. Dale_, Apr 21 2020 *)
%o (Magma) [(11*n+7)^10: n in [0..10]]; // _Vincenzo Librandi_, Sep 04 2011
%o (PARI) vector(20, n, (11*n-4)^10) \\ _G. C. Greubel_, Sep 19 2019
%o (Sage) [(11*n+7)^10 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o (GAP) List([0..20], n-> (11*n+7)^10); # _G. C. Greubel_, Sep 19 2019
%Y Powers of the form (11*n+7)^m: A017473 (m=1), A017474 (m=2), A017475 (m=3), A017476 (m=4), A017477 (m=5), A017478 (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), this sequence (m=10), A017483 (m=11), A017484 (m=12).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_