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A197708 a(n) = floor((n + 1/n)^7).

%I A197708 #25 Mar 27 2025 19:12:34
%S A197708 128,610,4572,25045,102807,339119,948645,2337564,5211939,10721353,
%T A197708 20642867,37610342,65394162,109236388,176246402,275862066,420381442,
%U A197708 625570111,911349137,1302568701,1829872465,2530657691,3450136161,4642500937,6172204001,8115349815
%N A197708 a(n) = floor((n + 1/n)^7).
%H A197708 Vincenzo Librandi, <a href="/A197708/b197708.txt">Table of n, a(n) for n = 1..10000</a>
%H A197708 <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 A197708 For n > 35, a(n) = n^7 + 7*n^5 + 21*n^3 + 35*n. - _Charles R Greathouse IV_, Dec 27 2011
%F A197708 a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8). - _Wesley Ivan Hurt_, Apr 17 2023
%t A197708 Table[Floor[(n + 1/n)^7], {n, 40}] (* _T. D. Noe_, Dec 27 2011 *)
%o A197708 (Magma) [Floor((n+1/n)^7): n in [1..40]];
%o A197708 (PARI) a(n)=floor((n+1/n)^7) \\ _Charles R Greathouse IV_, Dec 27 2011
%Y A197708 Cf. A014052, A197602, A197603, A197604.
%K A197708 nonn,easy
%O A197708 1,1
%A A197708 _Vincenzo Librandi_, Oct 18 2011