login
A016967
a(n) = (6*n + 4)^11.
2
4194304, 100000000000, 17592186044416, 584318301411328, 8293509467471872, 70188843638032384, 419430400000000000, 1951354384207722496, 7516865509350965248, 24986644000165537792, 73786976294838206464, 197732674300000000000, 488595558857835544576, 1127073856954876807168
OFFSET
0,1
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, Apr 01 2022: (Start)
a(n) = A016957(n)^11.
a(n) = 2^11*A016799(n).
Sum_{n>=0} 1/a(n) = 88573*zeta(11)/362797056 - 1847*Pi^11/(1285662067200*sqrt(3)). (End)
MATHEMATICA
(6*Range[0, 20]+4)^11 (* Harvey P. Dale, Sep 06 2012 *)
PROG
(Magma) [(6*n+4)^11: n in [0..20]]; // Vincenzo Librandi, May 07 2011
KEYWORD
nonn,easy
STATUS
approved