|
| |
| |
|
|
|
3588, 15755, 27922, 40089, 52256, 64423, 76590, 88757, 100924, 113091, 125258, 137425, 149592, 161759, 173926, 186093, 198260, 210427, 222594, 234761, 246928, 259095, 271262, 283429, 295596, 307763, 319930, 332097, 344264, 356431, 368598
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| The identity (279841*n^2-394634*n+139128)^2-(529*n^2-746*n+263)*(12167*n-8579)^2=1 can be written as A156844(n)^2-A156842(n)*a(n)^2=1.
|
|
|
LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
|
|
|
FORMULA
| a(n) = 2*a(n-1) -a(n-2).
G.f.: x*(3588+8579*x)/(x-1)^2.
|
|
|
MATHEMATICA
| LinearRecurrence[{2, -1}, {3588, 15755}, 40]
|
|
|
PROG
| (MAGMA) I:=[3588, 15755]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n)=a(n)=12167*n-8579 \\ Charles R Greathouse IV, Dec 23 2011
|
|
|
CROSSREFS
| CF. A156842, A156844, A156849.
Sequence in context: A004932 A004952 A004972 * A174851 A183007 A187422
Adjacent sequences: A156842 A156843 A156844 * A156846 A156847 A156848
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 17 2009
|
| |
|
|
