A016927 a(n) = (6*n + 1)^7.

1, 823543, 62748517, 893871739, 6103515625, 27512614111, 94931877133, 271818611107, 678223072849, 1522435234375, 3142742836021, 6060711605323, 11047398519097, 19203908986159, 32057708828125, 51676101935731, 80798284478113, 122987386542487, 182803912081669

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

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

Formula

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8). - Harvey P. Dale, May 12 2015

From Amiram Eldar, Mar 28 2022: (Start)

a(n) = A016921(n)^7.

Sum_{n>=0} 1/a(n) = 301*Pi^7/(1049760*sqrt(3)) + 138811*zeta(7)/279936. (End)

Mathematica

(6*Range[0, 20]+1)^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 823543, 62748517, 893871739, 6103515625, 27512614111, 94931877133, 271818611107}, 20] (* Harvey P. Dale, May 12 2015 *)

Prog

(Magma) [(6*n+1)^7: n in [0..40]]; // Vincenzo Librandi, May 04 2011

Crossrefs

Cf. A016921, A016922, A016923, A016924, A016925, A016926.

Sequence in context: A237790 A247058 A057069 * A016987 A017155 A017251

Adjacent sequences: A016924 A016925 A016926 * A016928 A016929 A016930

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved