|
| |
|
|
A197986
|
|
Round((n+1/n)^3).
|
|
1
|
|
|
|
8, 16, 37, 77, 141, 235, 364, 536, 756, 1030, 1364, 1764, 2236, 2786, 3420, 4144, 4964, 5886, 6916, 8060, 9324, 10714, 12236, 13896, 15700, 17654, 19764, 22036, 24476, 27090, 29884, 32864, 36036, 39406, 42980, 46764, 50764
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).
|
|
|
FORMULA
|
a(1)= 8, a{2}=16, a(3)=37, a(4)=77, a(5)=141, a(6)=235, a(7)=364, a(8)=536, a(9)=756, a(10)=1030, a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4) [From Harvey P. Dale, Apr 05 2012]
|
|
|
MATHEMATICA
|
Table[Round[(n+1/n)^3], {n, 40}] (* or *) Join[{8, 16, 37, 77, 141, 235}, LinearRecurrence[ {4, -6, 4, -1}, {364, 536, 756, 1030}, 40]] (* Harvey P. Dale, Apr 05 2012 *)
|
|
|
PROG
|
(MAGMA) [Round((n+1/n)^3): n in [1..60]]
|
|
|
CROSSREFS
|
Cf. A014056, A197985.
Sequence in context: A217672 A194601 A200271 * A054301 A197773 A057584
Adjacent sequences: A197983 A197984 A197985 * A197987 A197988 A197989
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Vincenzo Librandi, Oct 21 2011
|
|
|
STATUS
|
approved
|
| |
|
|
