A157735 18522n - 8274.

10248, 28770, 47292, 65814, 84336, 102858, 121380, 139902, 158424, 176946, 195468, 213990, 232512, 251034, 269556, 288078, 306600, 325122, 343644, 362166, 380688, 399210, 417732, 436254, 454776, 473298, 491820, 510342, 528864, 547386

Offset

1,1

Comments

The identity (388962*n^2-347508*n+77617)^2-(441*n^2-394*n+88)*(18522*n- 8274)^2=1 can be written as A157736(n)^2-A157734(n)*a(n)^2=1.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = 2*a(n-1) - a(n-2).

G.f.: x*(10248+8274*x)/(x-1)^2.

Mathematica

LinearRecurrence[{2, -1}, {10248, 28770}, 40]

Prog

(Magma) I:=[10248, 28770]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..40]];
(PARI) a(n) = 18522*n - 8274.

Crossrefs

Cf. A157734, A157736.

Sequence in context: A156119 A109176 A187796 * A332532 A252031 A356979

Adjacent sequences: A157732 A157733 A157734 * A157736 A157737 A157738

Keyword

nonn,easy

Author

_Vincenzo Librandi_, Mar 05 2009

Status

approved