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

0,1

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).

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

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 *)

Prog

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

Crossrefs

Cf. A000584, A013663, A017569.

Sequence in context: A222102 A229104 A223200 * A016750 A223879 A223804

Adjacent sequences: A017570 A017571 A017572 * A017574 A017575 A017576

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved