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

0,1

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).

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)

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 *)

Prog

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

Crossrefs

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

Sequence in context: A016880 A227662 A262458 * A017012 A017096 A017192

Adjacent sequences: A016937 A016938 A016939 * A016941 A016942 A016943

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved