A016962 a(n) = (6*n + 4)^6.

4096, 1000000, 16777216, 113379904, 481890304, 1544804416, 4096000000, 9474296896, 19770609664, 38068692544, 68719476736, 117649000000, 192699928576, 304006671424, 464404086784, 689869781056, 1000000000000, 1418519112256, 1973822685184, 2699554153024, 3635215077376

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Crossrefs

Cf. A016794, A016957, A016958, A016959, A016960, A016961.

Subsequence of A001014.

Programs

Magma

[(6*n+4)^6: n in [0..25]]; // Vincenzo Librandi, May 06 2011

Mathematica

(6Range[0,20]+4)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{4096,1000000,16777216,113379904,481890304,1544804416,4096000000},20] (* Harvey P. Dale, Aug 08 2019 *)

Formula

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016957(n)^6 = A016958(n)^3 = A016959(n)^2.

a(n) = 64*A016794(n).

Sum_{n>=0} 1/a(n) = PolyGamma(5, 2/3)/5598720. (End)