A017147 a(n) = (8*n+6)^11.
362797056, 4049565169664, 584318301411328, 17714700000000000, 238572050223552512, 1951354384207722496, 11384956040305711104, 52036560683837093888, 197732674300000000000, 650190514836423555072, 1903193578437064103936, 5062982072492057196544, 12433743083946522728448
Offset: 0
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).
Programs
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Magma
[(8*n+6)^11: n in [0..15]]; // Vincenzo Librandi, Jul 22 2011
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Mathematica
(8*Range[0,20]+6)^11 (* Harvey P. Dale, Apr 30 2018 *)
Formula
a(n) = 2048*A016847(n). - R. J. Mathar, Aug 26 2015
From Amiram Eldar, Apr 26 2023: (Start)
a(n) = A017137(n)^11.
Sum_{n>=0} 1/a(n) = 2047*zeta(11)/8388608 - 50521*Pi^11/60881161420800. (End)