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%I #27 Mar 29 2022 03:00:17
%S 1,65536,5764801,100000000,815730721,4294967296,16983563041,
%T 54875873536,152587890625,377801998336,852891037441,1785793904896,
%U 3512479453921,6553600000000,11688200277601,20047612231936,33232930569601,53459728531456,83733937890625
%N a(n) = (3*n+1)^8.
%H Vincenzo Librandi, <a href="/A016784/b016784.txt">Table of n, a(n) for n = 0..10000</a>
%H <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 a(n)= A001016(A016777(n)). - _Michel Marcus_, Jun 15 2016
%F G.f.: (1 + 65527*x + 5175013*x^2 + 50476003*x^3 + 117758659*x^4 + 77404933*x^5 + 13270807*x^6 + 388321*x^7 + 256*x^8)/(1 - x)^9. - _Ilya Gutkovskiy_, Jun 16 2016
%F Sum_{n>=0} 1/a(n) = PolyGamma(7, 1/3)/33067440. - _Amiram Eldar_, Mar 29 2022
%t Table[(3n+1)^8,{n,0,100}] (* _Mohammad K. Azarian_, Jun 15 2016 *)
%o (Magma) [(3*n+1)^8 : n in [0..20]]; // _Vincenzo Librandi_, Sep 28 2011
%o (Maxima) A016784(n):=(3*n+1)^8$
%o makelist(A016784(n),n,0,20); /* _Martin Ettl_, Nov 12 2012 */
%Y Cf. A001016, A016777, A016778, A016779, A016780, A016781, A016782, A016783.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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