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A168124 a(n) = n^2*(n^6+1)/2.

%I A168124 #15 Jun 09 2023 23:24:33
%S A168124 0,1,130,3285,32776,195325,839826,2882425,8388640,21523401,50000050,
%T A168124 107179501,214990920,407865445,737894626,1281445425,2147483776,
%U A168124 3487878865,5509980450,8491781701,12800000200,18911429901,27437937010,39155492905,55037657376
%N A168124 a(n) = n^2*(n^6+1)/2.
%H A168124 G. C. Greubel, <a href="/A168124/b168124.txt">Table of n, a(n) for n = 0..1000</a>
%H A168124 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A168124 O.g.f.: x*(1 + x)*(1 + 120*x + 2031*x^2 + 5776*x^3 + 2031*x^4 + 120*x^5 + x^6)/(1 - x)^9. - _Bruno Berselli_, Jul 14 2016
%F A168124 E.g.f.: x*(2 + 128*x + 966*x^2 + 1701*x^3 + 1050*x^4 + 266*x^5 + 28*x^6 + x^7)*exp(x)/2. - _Bruno Berselli_, Jul 14 2016
%F A168124 a(n) = 9*a(n-1)-36*a(n-2)+84*a(n-3)-126*a(n-4)+126*a(n-5)-84*a(n-6)+36*a(n-7)-9*a(n-8)+a(n-9). - _Wesley Ivan Hurt_, Jun 09 2023
%t A168124 Table[n^2*(n^6 + 1)/2, {n, 0, 50}] (* _G. C. Greubel_, Jul 13 2016 *)
%o A168124 (Magma) [n^2*(n^6+1)/2: n in [0..25]]; // _Vincenzo Librandi_, Jul 14 2016
%Y A168124 Subsequence of A027441 and A057590.
%K A168124 nonn,easy
%O A168124 0,3
%A A168124 _N. J. A. Sloane_, Dec 11 2009