|
%I #17 Mar 31 2022 10:17:18
%S 65536,100000000,4294967296,54875873536,377801998336,1785793904896,
%T 6553600000000,20047612231936,53459728531456,128063081718016,
%U 281474976710656,576480100000000,1113034787454976,2044140858654976,3596345248055296,6095689385410816,10000000000000000
%N a(n) = (6*n + 4)^8.
%H Vincenzo Librandi, <a href="/A016964/b016964.txt">Table of n, a(n) for n = 0..1000</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 From _Amiram Eldar_, Mar 31 2022: (Start)
%F a(n) = A016957(n)^8 = A016958(n)^4 = A016960(n)^2.
%F a(n) = 2^8*A016796(n).
%F Sum_{n>=0} 1/a(n) = PolyGamma(7, 2/3)/8465264640. (End)
%t (6*Range[0,20]+4)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{65536,100000000,4294967296,54875873536,377801998336,1785793904896,6553600000000,20047612231936,53459728531456},20] (* _Harvey P. Dale_, Dec 26 2018 *)
%o (Magma) [(6*n+4)^8: n in [0..20]]; // _Vincenzo Librandi_, May 07 2011
%Y Cf. A016796, A016957, A016958, A016959, A016960, A016961, A016962, A016963.
%Y Subsequence of A001016.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
|
