A017336 a(n) = (10*n + 5)^8.

390625, 2562890625, 152587890625, 2251875390625, 16815125390625, 83733937890625, 318644812890625, 1001129150390625, 2724905250390625, 6634204312890625, 14774554437890625, 30590228625390625, 59604644775390625, 110324037687890625, 195408755062890625, 333160561500390625

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Formula

G.f.: -((390625*(x^8 + 6552*x^7 + 331612*x^6 + 2485288*x^5 + 4675014*x^4 + 2485288*x^3 + 331612*x^2 + 6552*x + 1))/(x-1)^9). - Harvey P. Dale, Nov 02 2011

From Amiram Eldar, Apr 18 2023: (Start)

a(n) = A017329(n)^8.

a(n) = 5^8 * A016760(n).

Sum_{n>=0} 1/a(n) = 17*Pi^8/63000000000. (End)

Mathematica

(10Range[0, 20]+5)^8 (* Harvey P. Dale, Nov 02 2011 *)

Prog

(Magma) [(10*n+5)^8: n in [0..20]]; // Vincenzo Librandi, Aug 02 2011

Crossrefs

Cf. A016760, A017329.

Sequence in context: A017048 A017132 A017228 * A017456 A017588 A157741

Adjacent sequences: A017333 A017334 A017335 * A017337 A017338 A017339

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved