A016963 a(n) = (6*n + 4)^7.

16384, 10000000, 268435456, 2494357888, 13492928512, 52523350144, 163840000000, 435817657216, 1028071702528, 2207984167552, 4398046511104, 8235430000000, 14645194571776, 24928547056768, 40867559636992, 64847759419264, 100000000000000, 150363025899136, 221068140740608

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 (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Cf. A016795, A016957, A016958, A016959, A016960, A016961, A016962.

Subsequence of A001015.

Programs

Magma

[(6*n+4)^7: n in [0..20]]; // Vincenzo Librandi, May 07 2011

Mathematica

(6*Range[0,20]+4)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{16384,10000000,268435456,2494357888,13492928512,52523350144,163840000000,435817657216},20] (* Harvey P. Dale, Mar 03 2018 *)

Formula

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016957(n)^7.

a(n) = 2^7*A016795(n).

Sum_{n>=0} 1/a(n) = 1093*zeta(7)/279936 - 7*Pi^7/(3149280*sqrt(3)). (End)