A017091 a(n) = (8*n + 2)^3.

8, 1000, 5832, 17576, 39304, 74088, 125000, 195112, 287496, 405224, 551368, 729000, 941192, 1191016, 1481544, 1815848, 2197000, 2628072, 3112136, 3652264, 4251528, 4913000, 5639752, 6434856, 7301384, 8242408, 9261000, 10360232, 11543176, 12812904, 14172488, 15625000

Offset

0,1

Links

Vincenzo Librandi, 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 + 121*x + 235*x^2 + 27*x^3)/(x-1)^4. - R. J. Mathar, Jul 14 2016

From Amiram Eldar, Apr 24 2023: (Start)

a(n) = A017089(n)^3.

a(n) = 2^3*A016815(n).

Sum_{n>=0} 1/a(n) = Pi^3/512 + 7*zeta(3)/128. (End)

Mathematica

(8*Range[0, 30]+2)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {8, 1000, 5832, 17576}, 30] (* Harvey P. Dale, Dec 30 2019 *)

Prog

(Magma) [(8*n+2)^3: n in [0..35]]; // Vincenzo Librandi, Jul 12 2011

Crossrefs

Cf. A002117, A016815, A017089 (8n+2), A000578 (n^3).

Sequence in context: A159868 A061105 A118545 * A164883 A019545 A046242

Adjacent sequences: A017088 A017089 A017090 * A017092 A017093 A017094

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved