A017118 a(n) = (8*n + 4)^6.

4096, 2985984, 64000000, 481890304, 2176782336, 7256313856, 19770609664, 46656000000, 98867482624, 192699928576, 351298031616, 606355001344, 1000000000000, 1586874322944, 2436396322816, 3635215077376, 5289852801024, 7529536000000, 10509215371264, 14412774445056

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

G.f.: -4096*(1 + 722*x + 10543*x^2 + 23548*x^3 + 10543*x^4 + 722*x^5 + x^6)/(x-1)^7. - R. J. Mathar, May 08 2015

From Amiram Eldar, Apr 25 2023: (Start)

a(n) = A017113(n)^6.

a(n) = 2^6*A016830(n) = 2^12*A016758(n).

Sum_{n>=0} 1/a(n) = Pi^6/3932160. (End)

Mathematica

(8*Range[0, 30]+4)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {4096, 2985984, 64000000, 481890304, 2176782336, 7256313856, 19770609664}, 30] (* Harvey P. Dale, Jan 07 2016 *)

Prog

(Magma) [(8*n+4)^6: n in [0..20] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Cf. A016758, A016830, A017113.

Sequence in context: A224285 A224208 A017034 * A269294 A221093 A017214

Adjacent sequences: A017115 A017116 A017117 * A017119 A017120 A017121

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved