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%I #14 Sep 08 2022 08:46:12
%S 0,2047,177146,4194303,48828124,362797055,1977326742,8589934591,
%T 31381059608,99999999999,285311670610,743008370687,1792160394036,
%U 4049565169663,8649755859374,17592186044415,34271896307632,64268410079231,116490258898218,204799999999999
%N a(n) = n^11 - 1.
%H <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 G.f.: x^2* (2047 + 152582*x + 2203653*x^2 + 9737784*x^3 + 15724710*x^4 + 9737652*x^5 + 2203818*x^6 + 152472*x^7 + 2091*x^8 - 10*x^9 + x^10) / (1 - x)^12.
%F a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12).
%F a(n) = -A024009(n). [_Bruno Berselli_, Jun 12 2015]
%t Table[n^11 - 1, {n, 33}] (* or *) LinearRecurrence[{12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1}, {0, 2047, 177146, 4194303, 48828124, 362797055, 1977326742, 8589934591, 31381059608, 99999999999, 285311670610, 743008370687}, 40]
%o (Magma) [n^11-1: n in [1..40]];
%Y Cf. A024009.
%Y Cf. similar sequences listed in A258807.
%K nonn,easy
%O 1,2
%A _Vincenzo Librandi_, Jun 11 2015
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