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A017573
a(n) = (12n+4)^5.
1
1024, 1048576, 17210368, 102400000, 380204032, 1073741824, 2535525376, 5277319168, 10000000000, 17623416832, 29316250624, 46525874176, 71008211968, 104857600000, 150536645632, 210906087424, 289254654976, 389328928768, 515363200000, 672109330432, 864866612224
OFFSET
0,1
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
KEYWORD
nonn,easy
STATUS
approved