A016966 -id:A016966 - cp's OEIS frontend

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

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

Offset: 0

N. J. A. Sloane

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).

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

Subsequence of A008455.

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

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

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)

A016968 a(n) = (6*n + 4)^12.

Original entry on oeis.org

16777216, 1000000000000, 281474976710656, 12855002631049216, 232218265089212416, 2386420683693101056, 16777216000000000000, 89762301673555234816, 390877006486250192896, 1449225352009601191936, 4722366482869645213696, 13841287201000000000000, 37133262473195501387776

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Cf. A016800, A016957, A016958, A016959, A016960, A016961, A016962, A016963, A016964, A016965, A016966, A016967.

Subsequence of A008456.

[(6*n+4)^12: n in [0..20]]; // Vincenzo Librandi, May 07 2011

(6Range[0,20]+4)^12  (* Harvey P. Dale, Apr 17 2011 *)

From Amiram Eldar, Apr 01 2022: (Start)
a(n) = A016957(n)^12 = A016958(n)^6 = A016959(n)^4 = A016960(n)^3 = A016962(n)^2.
a(n) = 2^12*A016800(n).
Sum_{n>=0} 1/a(n) = PolyGamma(11, 2/3)/86890185149644800. (End)

cp's OEIS Frontend

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

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