A017143 a(n) = (8*n+6)^7.

279936, 105413504, 2494357888, 21870000000, 114415582592, 435817657216, 1338925209984, 3521614606208, 8235430000000, 17565568854912, 34792782221696, 64847759419264, 114868566764928, 194871710000000, 318547390056832, 504189521813376, 775771085481344, 1164175380274048

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

Formula

a(n) = 128*A016843(n). - R. J. Mathar, Aug 26 2015

From Amiram Eldar, Apr 26 2023: (Start)

a(n) = A017137(n)^7.

Sum_{n>=0} 1/a(n) = 127*zeta(7)/32768 - 61*Pi^7/47185920. (End)

Maple

A017143:=n->(8*n+6)^7: seq(A017143(n), n=0..20); # Wesley Ivan Hurt, Feb 11 2017

Mathematica

Table[(8 n + 6)^7, {n, 0, 13}] (* Michael De Vlieger, Feb 12 2017 *)

Prog

(Magma) [(8*n+6)^7: n in [0..20]]; // Vincenzo Librandi, Jul 22 2011

Crossrefs

Cf. A013665, A016843, A017137.

Sequence in context: A016915 A183621 A017059 * A017239 A017347 A017467

Adjacent sequences: A017140 A017141 A017142 * A017144 A017145 A017146

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved