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

0,1

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).

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

Mathematica

Table[(4n+2)^3, {n, 0, 100}] (* Mohammad K. Azarian, Jun 20 2016 *)

Crossrefs

Odd bisection of A016743.

Subsequence of A000578.

Sequence in context: A224096 A224103 A072159 * A239222 A275023 A163289

Adjacent sequences: A016824 A016825 A016826 * A016828 A016829 A016830

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved