A017340 a(n) = (10*n + 5)^12.
244140625, 129746337890625, 59604644775390625, 3379220508056640625, 68952523554931640625, 766217865410400390625, 5688009063105712890625, 31676352024078369140625, 142241757136172119140625, 540360087662636962890625, 1795856326022129150390625, 5350250105473711181640625
Offset: 0
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).
Programs
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Magma
[(10*n+5)^12: n in [0..10]]; // Vincenzo Librandi, Aug 02 2011
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Mathematica
(10*Range[0,20]+5)^12 (* Harvey P. Dale, May 09 2022 *)
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)