login
A016951
a(n) = (6*n + 3)^7.
6
2187, 4782969, 170859375, 1801088541, 10460353203, 42618442977, 137231006679, 373669453125, 897410677851, 1954897493193, 3938980639167, 7446353252589, 13348388671875, 22876792454961, 37725479487783, 60170087060757, 93206534790699, 140710042265625, 207616015289871
OFFSET
0,1
LINKS
FORMULA
From Amiram Eldar, Mar 30 2022: (Start)
a(n) = A016945(n)^7.
a(n) = 3^7*A016759(n).
Sum_{n>=0} 1/a(n) = 127*zeta(7)/279936.
Sum_{n>=0} (-1)^n/a(n) = 61*Pi^7/403107840. (End)
MATHEMATICA
a[n_] := (6*n + 3)^7; Array[a, 50, 0] (* Amiram Eldar, Mar 30 2022 *)
PROG
(Magma) [(6*n+3)^7: n in [0..40]]; // Vincenzo Librandi, May 05 2011
CROSSREFS
KEYWORD
nonn,easy
STATUS
approved