A017122 a(n) = (8*n + 4)^10.
1048576, 61917364224, 10240000000000, 296196766695424, 3656158440062976, 27197360938418176, 144555105949057024, 604661760000000000, 2113922820157210624, 6428888932339941376, 17490122876598091776, 43438845422363213824, 100000000000000000000, 215892499727278669824
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
Programs
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Magma
[(8*n+4)^10: n in [0..15] ]; // Vincenzo Librandi, Jul 21 2011
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Mathematica
Table[(8*n + 4)^10, {n, 0, 20}] (* Amiram Eldar, Apr 25 2023 *)
Formula
G.f.: ( -1048576 - 61905829888*x - 9558966665216*x^2 - 186962048712704*x^3 - 950977987346432*x^4 - 1601272511725568*x^5 - 950977987346432*x^6 - 186962048712704*x^7 - 9558966665216*x^8 - 61905829888*x^9 - 1048576*x^10 ) / ( (x-1)^11 ). - R. J. Mathar, May 08 2015
From Amiram Eldar, Apr 25 2023: (Start)
a(n) = A017113(n)^10.
Sum_{n>=0} 1/a(n) = 31*Pi^10/3044058071040. (End)