A017118 a(n) = (8*n + 4)^6.
4096, 2985984, 64000000, 481890304, 2176782336, 7256313856, 19770609664, 46656000000, 98867482624, 192699928576, 351298031616, 606355001344, 1000000000000, 1586874322944, 2436396322816, 3635215077376, 5289852801024, 7529536000000, 10509215371264, 14412774445056
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
Programs
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Magma
[(8*n+4)^6: n in [0..20] ]; // Vincenzo Librandi, Jul 21 2011
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Mathematica
(8*Range[0,30]+4)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{4096,2985984,64000000,481890304,2176782336,7256313856,19770609664},30] (* Harvey P. Dale, Jan 07 2016 *)
Formula
G.f.: -4096*(1 + 722*x + 10543*x^2 + 23548*x^3 + 10543*x^4 + 722*x^5 + x^6)/(x-1)^7. - R. J. Mathar, May 08 2015
From Amiram Eldar, Apr 25 2023: (Start)
a(n) = A017113(n)^6.
Sum_{n>=0} 1/a(n) = Pi^6/3932160. (End)