A017122 a(n) = (8*n + 4)^10.

1048576, 61917364224, 10240000000000, 296196766695424, 3656158440062976, 27197360938418176, 144555105949057024, 604661760000000000, 2113922820157210624, 6428888932339941376, 17490122876598091776, 43438845422363213824, 100000000000000000000, 215892499727278669824

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

G.f.: ( -1048576 - 61905829888*x - 9558966665216*x^2 - 186962048712704*x^3 - 950977987346432*x^4 - 1601272511725568*x^5 - 950977987346432*x^6 - 186962048712704*x^7 - 9558966665216*x^8 - 61905829888*x^9 - 1048576*x^10 ) / ( (x-1)^11 ). - R. J. Mathar, May 08 2015

From Amiram Eldar, Apr 25 2023: (Start)

a(n) = A017113(n)^10.

a(n) = 2^10*A016834(n) = 2^20*A016762(n).

Sum_{n>=0} 1/a(n) = 31*Pi^10/3044058071040. (End)

Mathematica

Table[(8*n + 4)^10, {n, 0, 20}] (* Amiram Eldar, Apr 25 2023 *)

Prog

(Magma) [(8*n+4)^10: n in [0..15] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Cf. A016762, A016834, A017113.

Sequence in context: A010808 A016966 A017038 * A017218 A017326 A017446

Adjacent sequences: A017119 A017120 A017121 * A017123 A017124 A017125

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved