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A239095 a(n) = (n^7 - 21*n^3 + 20*n)/210.

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%I A239095 #20 Sep 08 2022 08:46:07
%S A239095 0,0,0,8,72,360,1312,3888,9936,22704,47520,92664,170456,298584,501696,
%T A239095 813280,1277856,1953504,2914752,4255848,6094440,8575688,11876832,
%U A239095 16212240,21838960,29062800,38244960,49809240,64249848,82139832,104140160,131009472,163614528,202941376,250107264,306373320,373158024,452051496,544830624,653475056,780184080
%N A239095 a(n) = (n^7 - 21*n^3 + 20*n)/210.
%H A239095 Vincenzo Librandi, <a href="/A239095/b239095.txt">Table of n, a(n) for n = 0..1000</a>
%H A239095 C. P. Neuman and D. I. Schonbach, <a href="http://dx.doi.org/10.1137/1019006">Evaluation of sums of convolved powers using Bernoulli numbers</a>, SIAM Rev. 19 (1977), no. 1, 90--99. MR0428678 (55 #1698). See Table 3.
%H A239095 <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 A239095 G.f.: 8*x^3*(1 + x + x^2)/(1 - x)^8. - _Ilya Gutkovskiy_, Feb 24 2017
%t A239095 Table[(n^7 - 21 n^3 + 20 n)/210, {n, 0, 50}] (* _Vincenzo Librandi_, Mar 24 2014 *)
%t A239095 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{0,0,0,8,72,360,1312,3888},50] (* _Harvey P. Dale_, Apr 26 2018 *)
%o A239095 (Magma) [(n^7-21*n^3+20*n)/210: n in [0..40]]; // _Vincenzo Librandi_, Mar 24 2014
%Y A239095 Cf. A239094, A239096.
%K A239095 nonn
%O A239095 0,4
%A A239095 _N. J. A. Sloane_, Mar 23 2014