A016799 -id:A016799 - 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)

A016800 a(n) = (3*n + 2)^12.

Original entry on oeis.org

4096, 244140625, 68719476736, 3138428376721, 56693912375296, 582622237229761, 4096000000000000, 21914624432020321, 95428956661682176, 353814783205469041, 1152921504606846976, 3379220508056640625, 9065737908494995456, 22563490300366186081, 52654090776777588736

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Cf. A016789, A016790, A016791, A016792, A016793, A016794, A016795, A016796, A016797, A016798, A016799.

Subsequence of A008456.

Table[(3n+2)^12,{n,0,100}] (* Mohammad K. Azarian, Jun 15 2016 *)

From Amiram Eldar, Apr 01 2022: (Start)
a(n) = A016789(n)^12 = A016790(n)^6 = A016791(n)^4 = A016792(n)^3 = A016794(n)62.
Sum_{n>=0} 1/a(n) = PolyGamma(11, 2/3)/21213424108800. (End)

cp's OEIS Frontend

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

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