A016967 a(n) = (6*n + 4)^11.

4194304, 100000000000, 17592186044416, 584318301411328, 8293509467471872, 70188843638032384, 419430400000000000, 1951354384207722496, 7516865509350965248, 24986644000165537792, 73786976294838206464, 197732674300000000000, 488595558857835544576, 1127073856954876807168

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Crossrefs

Cf. A016799, A016957, A016958, A016959, A016960, A016961, A016962, A016963, A016964, A016965, A016966.

Subsequence of A008455.

Programs

Magma

[(6*n+4)^11: n in [0..20]]; // Vincenzo Librandi, May 07 2011

Mathematica

(6*Range[0,20]+4)^11 (* Harvey P. Dale, Sep 06 2012 *)

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)