|
|
A016965
|
|
a(n) = (6*n + 4)^9.
|
|
4
|
|
|
262144, 1000000000, 68719476736, 1207269217792, 10578455953408, 60716992766464, 262144000000000, 922190162669056, 2779905883635712, 7427658739644928, 18014398509481984, 40353607000000000, 84590643846578176, 167619550409708032, 316478381828866048, 572994802228616704
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
|
|
FORMULA
|
Sum_{n>=0} 1/a(n) = 9841*zeta(9)/10077696 - 809*Pi^9/(14285134080*sqrt(3)). (End)
|
|
MATHEMATICA
|
(6*Range[0, 20]+4)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {262144, 1000000000, 68719476736, 1207269217792, 10578455953408, 60716992766464, 262144000000000, 922190162669056, 2779905883635712, 7427658739644928}, 20] (* Harvey P. Dale, Mar 04 2016 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|