A017141 a(n) = (8*n+6)^5.
7776, 537824, 5153632, 24300000, 79235168, 205962976, 459165024, 916132832, 1680700000, 2887174368, 4704270176, 7339040224, 11040808032, 16105100000, 22877577568, 31757969376, 43204003424, 57735339232, 75937500000, 98465804768, 126049300576, 159494694624, 199690286432
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
Programs
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Magma
[(8*n+6)^5: n in [0..30]]; // Vincenzo Librandi, Jul 22 2011
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Mathematica
Table[(8*n + 6)^5, {n, 0, 30}] (* Amiram Eldar, Apr 26 2023 *)
Formula
G.f.: 32*(x^5+3119*x^4+40314*x^3+63854*x^2+15349*x+243)/(x-1)^6. - Colin Barker, Sep 17 2012
From Amiram Eldar, Apr 26 2023: (Start)
a(n) = A017137(n)^5.
a(n) = 2^5*A016841(n).
Sum_{n>=0} 1/a(n) = 31*zeta(5)/2048 - 5*Pi^5/98304. (End)