A016819 a(n) = (4n+1)^7.

1, 78125, 4782969, 62748517, 410338673, 1801088541, 6103515625, 17249876309, 42618442977, 94931877133, 194754273881, 373669453125, 678223072849, 1174711139837, 1954897493193, 3142742836021, 4902227890625, 7446353252589, 11047398519097, 16048523266853, 22876792454961

Offset

0,2

Links

Table of n, a(n) for n=0..20.

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

Formula

From Amiram Eldar, Apr 21 2023: (Start)

a(n) = A016813(n)^7.

Sum_{n>=0} 1/a(n) = 61*Pi^7/368640 + 127*zeta(7)/256. (End)

Mathematica

Table[(4n+1)^7, {n, 0, 100}] (* Mohammad K. Azarian, Jun 20 2016 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 78125, 4782969, 62748517, 410338673, 1801088541, 6103515625, 17249876309}, 20] (* Harvey P. Dale, May 25 2022 *)

Crossrefs

Cf. A013665, A016813.

Sequence in context: A210141 A051302 A145553 * A016855 A016975 A017047

Adjacent sequences: A016816 A016817 A016818 * A016820 A016821 A016822

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved