A017340 a(n) = (10*n + 5)^12.

244140625, 129746337890625, 59604644775390625, 3379220508056640625, 68952523554931640625, 766217865410400390625, 5688009063105712890625, 31676352024078369140625, 142241757136172119140625, 540360087662636962890625, 1795856326022129150390625, 5350250105473711181640625

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Formula

G.f.: -244140625*(x^12 + 531428*x^11 + 237231970*x^10 + 10708911188*x^9 + 121383780207*x^8 + 477020564424*x^7 + 743288515164*x^6 + 477020564424*x^5 + 121383780207*x^4 + 10708911188*x^3 + 237231970*x^2 + 531428*x + 1)/(x-1)^13. - Colin Barker, Nov 14 2012

From Amiram Eldar, Apr 18 2023: (Start)

a(n) = A017329(n)^12.

a(n) = 5^12 * A016764(n).

Sum_{n>=0} 1/a(n) = 691*Pi^12/155925000000000000. (End)

Mathematica

(10*Range[0, 20]+5)^12 (* Harvey P. Dale, May 09 2022 *)

Prog

(Magma) [(10*n+5)^12: n in [0..10]]; // Vincenzo Librandi, Aug 02 2011

Crossrefs

Cf. A016764, A017329.

Sequence in context: A017052 A017136 A017232 * A017460 A017592 A146073

Adjacent sequences: A017337 A017338 A017339 * A017341 A017342 A017343

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved