A017120 a(n) = (8*n + 4)^8.
65536, 429981696, 25600000000, 377801998336, 2821109907456, 14048223625216, 53459728531456, 167961600000000, 457163239653376, 1113034787454976, 2478758911082496, 5132188731375616, 10000000000000000, 18509302102818816, 32784148919812096, 55895067029733376
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
Programs
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Magma
[(8*n+4)^8: n in [0..15] ]; // Vincenzo Librandi, Jul 21 2011
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Mathematica
Table[(8*n + 4)^8, {n, 0, 20}] (* Amiram Eldar, Apr 25 2023 *)
Formula
G.f.: -65536*(1 + 6552*x + 331612*x^2 + 2485288*x^3 + 4675014*x^4 + 2485288*x^5 + 331612*x^6 + 6552*x^7 + x^8)/(x-1)^9. - R. J. Mathar, May 08 2015
From Amiram Eldar, Apr 25 2023: (Start)
a(n) = A017113(n)^8.
Sum_{n>=0} 1/a(n) = 17*Pi^8/10569646080. (End)