A016827 a(n) = (4n+2)^3.
8, 216, 1000, 2744, 5832, 10648, 17576, 27000, 39304, 54872, 74088, 97336, 125000, 157464, 195112, 238328, 287496, 343000, 405224, 474552, 551368, 636056, 729000, 830584, 941192, 1061208, 1191016
Offset: 0
Links
- Michael De Vlieger, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
Programs
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Mathematica
Table[(4n+2)^3,{n,0,100}] (* Mohammad K. Azarian, Jun 20 2016 *)
Formula
G.f.: 8*(1 + 23*x + 23*x^2 + x^3)/(1 - x)^4. - Ilya Gutkovskiy, Jun 21 2016
From Amiram Eldar, Jun 28 2020: (Start)
Sum_{n>=0} 1/a(n) = 7*zeta(3)/64.
Sum_{n>=0} (-1)^n/a(n) = Pi^3/256. (End)
a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - Wesley Ivan Hurt, Mar 08 2022