A174853 y-values in the solution to x^2-47*y^2=1.

0, 7, 672, 64505, 6191808, 594349063, 57051318240, 5476332201977, 525670840071552, 50458924314667015, 4843531063367961888, 464928523159009674233, 44628294692201560764480

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A174755.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (96,-1).

Formula

a(n) = 96*a(n-1)-a(n-2) with a(1)=0, a(2)=7.

G.f.: 7*x^2/(1-96*x+x^2).

Mathematica

LinearRecurrence[{96, -1}, {0, 7}, 30]

Prog

(Magma) I:=[0, 7]; [n le 2 select I[n] else 96*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174755.

Sequence in context: A074282 A171737 A013568 * A228928 A332167 A038803

Adjacent sequences: A174850 A174851 A174852 * A174854 A174855 A174856

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 15 2010

Status

approved