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A016931
a(n) = (6*n + 1)^11.
2
1, 1977326743, 1792160394037, 116490258898219, 2384185791015625, 25408476896404831, 177917621779460413, 929293739471222707, 3909821048582988049, 13931233916552734375, 43513917611435838661, 122130132904968017083, 313726685568359708377, 747993810527520928879
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).
FORMULA
From Amiram Eldar, Mar 28 2022: (Start)
a(n) = A016921(n)^11.
Sum_{n>=0} 1/a(n) = 1261501*Pi^11/(428554022400*sqrt(3)) + 181308931*zeta(11)/362797056. (End)
MATHEMATICA
(6*Range[0, 20]+1)^11 (* Harvey P. Dale, Aug 23 2017 *)
PROG
(Magma) [(6*n+1)^11: n in [0..25]]; // Vincenzo Librandi, May 04 2011
KEYWORD
nonn,easy
STATUS
approved