A016940 a(n) = (6*n + 2)^8.

256, 16777216, 1475789056, 25600000000, 208827064576, 1099511627776, 4347792138496, 14048223625216, 39062500000000, 96717311574016, 218340105584896, 457163239653376, 899194740203776, 1677721600000000, 2992179271065856, 5132188731375616, 8507630225817856

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 (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

Cf. A016784, A016933, A016934, A016935, A016936, A016937, A016938, A016939.

Programs

Magma

[(6*n+2)^8: n in [0..20]]; // Vincenzo Librandi, May 04 2011

Mathematica

(6*Range[0,20]+2)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{256,16777216,1475789056,25600000000,208827064576,1099511627776,4347792138496,14048223625216,39062500000000},20] (* Harvey P. Dale, Sep 06 2020 *)

Formula

From Amiram Eldar, Mar 29 2022: (Start)

a(n) = A016933(n)^8 = A016934(n)^4 = A016936(n)^2.

a(n) = 2^8*A016784(n).

Sum_{n>=0} 1/a(n) = PolyGamma(7, 1/3)/8465264640. (End)