A017573 a(n) = (12n+4)^5.

1024, 1048576, 17210368, 102400000, 380204032, 1073741824, 2535525376, 5277319168, 10000000000, 17623416832, 29316250624, 46525874176, 71008211968, 104857600000, 150536645632, 210906087424, 289254654976, 389328928768, 515363200000, 672109330432, 864866612224

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Cf. A000584, A013663, A017569.

Programs

Magma

[(12*n+4)^5: n in [0..20]]; // Vincenzo Librandi, Feb 27 2014

Maple

A017573:=n->(12*n + 4)^5; seq(A017573(n), n=0..20); # Wesley Ivan Hurt, Feb 25 2014

Mathematica

Table[(12 n + 4)^5, {n, 0, 20}] (* Wesley Ivan Hurt, Feb 25 2014 *)
(12*Range[0,20]+4)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1024,1048576,17210368,102400000,380204032,1073741824},20] (* Harvey P. Dale, Apr 24 2017 *)

Formula

a(n) = (12n + 4)^5 = 1024(3n + 1)^5 = A000584(A017569(n)). - Wesley Ivan Hurt, Feb 25 2014

Sum_{n>=0} 1/a(n) = Pi^5/(373248*sqrt(3)) + 121*zeta(5)/248832. - Amiram Eldar, Jul 14 2024