A017339 a(n) = (10*n + 5)^11.

48828125, 8649755859375, 2384185791015625, 96549157373046875, 1532278301220703125, 13931233916552734375, 87507831740087890625, 422351360321044921875, 1673432436896142578125, 5688000922764599609375, 17103393581163134765625, 46523913960640966796875, 116415321826934814453125

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Formula

G.f.: 48828125*(x+1)*(x^10 + 177134*x^9 + 46525293*x^8 + 1356555432*x^7 + 9480267666*x^6 + 19107752148*x^5 + 9480267666*x^4 + 1356555432*x^3 + 46525293*x^2 + 177134*x + 1)/(x-1)^12. - Colin Barker, Nov 14 2012

From Amiram Eldar, Apr 18 2023: (Start)

a(n) = A017329(n)^11.

a(n) = 5^11 * A016763(n).

Sum_{n>=0} 1/a(n) = 2047*zeta(11)/100000000000.

Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/725760000000000000. (End)

Mathematica

Table[(10*n + 5)^11, {n, 0, 15}] (* Amiram Eldar, Apr 18 2023 *)

Prog

(Magma) [(10*n+5)^11: n in [0..10]]; // Vincenzo Librandi, Aug 02 2011

Crossrefs

Cf. A013669, A016763, A017329.

Sequence in context: A017051 A017135 A017231 * A017459 A017591 A271020

Adjacent sequences: A017336 A017337 A017338 * A017340 A017341 A017342

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved