A016938 a(n) = (6*n + 2)^6.

64, 262144, 7529536, 64000000, 308915776, 1073741824, 3010936384, 7256313856, 15625000000, 30840979456, 56800235584, 98867482624, 164206490176, 262144000000, 404567235136, 606355001344, 885842380864, 1265319018496, 1771561000000, 2436396322816, 3297303959104

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..2000
• Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Crossrefs

Cf. A016782, A016933, A016934, A016935, A016936, A016937.

Programs

Magma

[(6*n+2)^6: n in [0..30]]; // Vincenzo Librandi, May 04 2011

Mathematica

(6Range[0,20]+2)^6  (* Harvey P. Dale, Apr 01 2011 *)

Formula

From Amiram Eldar, Mar 29 2022: (Start)

a(n) = A016933(n)^6 = A016934(n)^3 = A016935(n)^2.

a(n) = 64*A016782(n).

Sum_{n>=0} 1/a(n) = PolyGamma(5, 1/3)/5598720. (End)