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%I A024138 #20 Sep 08 2022 08:44:48
%S A024138 1,10,-1927,-175816,-4179663,-48667074,-361025495,-1957839572,
%T A024138 -8375575711,-29023111918,-74062575399,0,2395420006033,32730551749894,
%U A024138 375700268413577,4168598413556276,45932137677527745,505412756602986138
%N A024138 a(n) = 11^n - n^11.
%H A024138 Vincenzo Librandi, <a href="/A024138/b024138.txt">Table of n, a(n) for n = 0..300</a>
%F A024138 From _Chai Wah Wu_, Jan 26 2020: (Start)
%F A024138 a(n) = 23*a(n-1) - 198*a(n-2) + 946*a(n-3) - 2915*a(n-4) + 6237*a(n-5) - 9636*a(n-6) + 10956*a(n-7) - 9207*a(n-8) + 5665*a(n-9) - 2486*a(n-10) + 738*a(n-11) - 133*a(n-12) + 11*a(n-13) for n > 12.
%F A024138 G.f.: (-12*x^12 - 22383*x^11 - 1677037*x^10 - 24085511*x^9 - 104916261*x^8 - 163227822*x^7 - 91395930*x^6 - 14499462*x^5 + 523986*x^4 + 130461*x^3 + 1959*x^2 + 13*x - 1)/((x - 1)^12*(11*x - 1)). (End)
%t A024138 Table[11^n - n^11, {n, 0, 20}] (* _Harvey P. Dale_, Jul 31 2013 *)
%o A024138 (Magma) [11^n-n^11: n in [0..20]]; // _Vincenzo Librandi_, Jun 30 2011
%Y A024138 Cf. A024012, A024026, A058794, A024040, A024054, A024068, A024082, A024096, A024110, A024124. - _Vladimir Joseph Stephan Orlovsky_, Jan 15 2009
%K A024138 sign,easy
%O A024138 0,2
%A A024138 _N. J. A. Sloane_

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