A016847 a(n) = (4n+3)^11.

177147, 1977326743, 285311670611, 8649755859375, 116490258898219, 952809757913927, 5559060566555523, 25408476896404831, 96549157373046875, 317475837322472439, 929293739471222707, 2472159215084012303, 6071163615208263051, 13931233916552734375

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. A004767, A013669.

Programs

Magma

[(4*n+3)^11: n in [0..20]]; // Vincenzo Librandi, Apr 27 2014

Mathematica

(4*Range[0,20]+3)^11 (* Harvey P. Dale, Apr 26 2014 *)
Table[((4 n + 3)^11), {n, 0, 20}] (* Vincenzo Librandi, Apr 27 2014 *)

Formula

a(n) = A004767(n)^11. - Michel Marcus, Apr 27 2014

Sum_{n>=0} 1/a(n) = 2047*zeta(11)/4096 - 50521*Pi^11/29727129600. - Amiram Eldar, Apr 24 2023