A017147 a(n) = (8*n+6)^11.

362797056, 4049565169664, 584318301411328, 17714700000000000, 238572050223552512, 1951354384207722496, 11384956040305711104, 52036560683837093888, 197732674300000000000, 650190514836423555072, 1903193578437064103936, 5062982072492057196544, 12433743083946522728448

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Formula

a(n) = 2048*A016847(n). - R. J. Mathar, Aug 26 2015

From Amiram Eldar, Apr 26 2023: (Start)

a(n) = A017137(n)^11.

Sum_{n>=0} 1/a(n) = 2047*zeta(11)/8388608 - 50521*Pi^11/60881161420800. (End)

Mathematica

(8*Range[0, 20]+6)^11 (* Harvey P. Dale, Apr 30 2018 *)

Prog

(Magma) [(8*n+6)^11: n in [0..15]]; // Vincenzo Librandi, Jul 22 2011

Crossrefs

Cf. A013669, A016847, A017137.

Sequence in context: A016871 A016919 A017063 * A017243 A017351 A017471

Adjacent sequences: A017144 A017145 A017146 * A017148 A017149 A017150

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved