A016974 a(n) = (6*n + 5)^6.

15625, 1771561, 24137569, 148035889, 594823321, 1838265625, 4750104241, 10779215329, 22164361129, 42180533641, 75418890625, 128100283921, 208422380089, 326940373369, 496981290961, 735091890625, 1061520150601, 1500730351849, 2081951752609, 2839760855281, 3814697265625

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. A016969 (6*n +5), A016970, A016971, A016972, A016973.

Subsequence of A001014 (n^6).

Programs

Magma

[(6*n+5)^6: n in [0..25]]; // Vincenzo Librandi, May 10 2011

Mathematica

(6Range[0,20]+5)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{15625,1771561,24137569,148035889,594823321,1838265625,4750104241},30] (* Harvey P. Dale, Apr 24 2025 *)

Formula

From Amiram Eldar, Apr 01 2022: (Start)

a(n) = A016969(n)^6 = A016970(n)^3 = A016971(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(5, 5/6)/5598720. (End)