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%I #32 Sep 08 2022 08:44:42
%S 19683,10604499373,1801152661463,46411484401953,502592611936843,
%T 3299763591802133,15633814156853823,58871586708267913,
%U 186940255267540403,520411082988487293,1304773183829244583,3004041937984268273
%N a(n) = (10*n + 3)^9.
%H Vincenzo Librandi, <a href="/A017313/b017313.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).
%F a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10); a(0)=19683, a(1)=10604499373, a(2)=1801152661463, a(3)=46411484401953, a(4)=502592611936843, a(5)=3299763591802133, a(6)=15633814156853823, a(7)=58871586708267913, a(8)=186940255267540403, a(9)=520411082988487293. - _Harvey P. Dale_, Sep 14 2013
%t (10*Range[0,20]+3)^9 (* or *) LinearRecurrence[ {10,-45,120,-210,252,-210,120,-45,10,-1},{19683,10604499373,1801152661463,46411484401953,502592611936843,3299763591802133,15633814156853823,58871586708267913,186940255267540403,520411082988487293},30] (* _Harvey P. Dale_, Sep 14 2013 *)
%o (Magma) [(10*n+3)^9: n in [0..15]]; // _Vincenzo Librandi_, Jul 31 2011
%o (Python) for n in range(0, 15): print((10*n + 3)**9, end=", ") # _Stefano Spezia_, Oct 20 2018
%Y Cf. A001017 (n^9), A017305 (10n+3).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_