|
| |
| |
|
|
|
812, 3335, 7540, 13427, 20996, 30247, 41180, 53795, 68092, 84071, 101732, 121075, 142100, 164807, 189196, 215267, 243020, 272455, 303572, 336371, 370852, 407015, 444860, 484387, 525596, 568487, 613060, 659315, 707252, 756871, 808172, 861155
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
The identity (58*n^2-1)^2-(841*n^2-29)*(2*n)^2 = 1 can be written as A158668(n)^2-a(n)*A005843(n)^2 =1.
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
|
|
|
FORMULA
|
G.f.: 29*x*(-28-31*x+x^2)/(x-1)^3.
a(n) = 3*a(n-1) -3*a(n-2) +a(n-3).
|
|
|
MAPLE
|
A158667:=n->841*n^2 - 29; seq(A158667(k), k=1..50); # Wesley Ivan Hurt, Nov 01 2013
|
|
|
MATHEMATICA
|
LinearRecurrence[{3, -3, 1}, {812, 3335, 7540}, 40] (* or *) 29 (29 Range[40]^2 - 1) (* Harvey P. Dale, Oct 31 2011 *)
|
|
|
PROG
|
(MAGMA) I:=[812, 3335, 7540]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..40]]; // Vincenzo Librandi, Feb 18 2012
(PARI) for(n=1, 40, print1(841*n^2-29", ")); \\ Vincenzo Librandi, Feb 18 2012
|
|
|
CROSSREFS
|
Cf. A005843, A158668.
Sequence in context: A093633 A045228 A252223 * A035854 A099116 A183820
Adjacent sequences: A158664 A158665 A158666 * A158668 A158669 A158670
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Vincenzo Librandi, Mar 24 2009
|
|
|
EXTENSIONS
|
Comment rephrased and redundant formula replaced by R. J. Mathar, Oct 19 2009
|
|
|
STATUS
|
approved
|
| |
|
|
