A016843 a(n) = (4n+3)^7.

2187, 823543, 19487171, 170859375, 893871739, 3404825447, 10460353203, 27512614111, 64339296875, 137231006679, 271818611107, 506623120463, 897410677851, 1522435234375, 2488651484819, 3938980639167, 6060711605323, 9095120158391, 13348388671875, 19203908986159

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Cf. A004767, A013665.

Programs

Maple

A016843:=n->(4*n+3)^7; seq(A016843(n), n=0..50); # Wesley Ivan Hurt, Dec 26 2013

Mathematica

Table[(4n+3)^7, {n, 0, 50}] (* Wesley Ivan Hurt, Dec 26 2013 *)

Formula

a(n) = A004767(n)^7. - Wesley Ivan Hurt, Dec 26 2013

Sum_{n>=0} 1/a(n) = 127*zeta(7)/256 - 61*Pi^7/368640. - Amiram Eldar, Apr 24 2023