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%I #25 Apr 18 2023 05:02:11
%S 9765625,576650390625,95367431640625,2758547353515625,
%T 34050628916015625,253295162119140625,1346274334462890625,
%U 5631351470947265625,19687440434072265625,59873693923837890625,162889462677744140625,404555773570791015625,931322574615478515625
%N a(n) = (10*n + 5)^10.
%H Vincenzo Librandi, <a href="/A017338/b017338.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F G.f.: -9765625*(x^10 + 59038*x^9 + 9116141*x^8 + 178300904*x^7 + 906923282*x^6 + 1527092468*x^5 + 906923282*x^4 + 178300904*x^3 + 9116141*x^2 + 59038*x + 1)/(x-1)^11. - _Colin Barker_, Nov 14 2012
%F From _Amiram Eldar_, Apr 18 2023: (Start)
%F a(n) = A017329(n)^10.
%F a(n) = 5^10 * A016762(n).
%F Sum_{n>=0} 1/a(n) = 31*Pi^10/28350000000000. (End)
%t (10 Range[0,20]+5)^10 (* or *) LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{9765625,576650390625,95367431640625,2758547353515625,34050628916015625,253295162119140625,1346274334462890625,5631351470947265625,19687440434072265625,59873693923837890625,162889462677744140625},20] (* _Harvey P. Dale_, Jul 18 2021 *)
%o (Magma) [(10*n+5)^10: n in [0..10]]; // _Vincenzo Librandi_, Aug 02 2011
%Y Cf. A016762, A017329.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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