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

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

Offset

0,1

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).

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

Crossrefs

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

Subsequence of A008455.

Sequence in context: A017708 A010810 A137486 * A017039 A017123 A017219

Adjacent sequences: A016964 A016965 A016966 * A016968 A016969 A016970

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved