A174775 y-values in the solution to x^2 - 37*y^2 = 1.

0, 12, 1752, 255780, 37342128, 5451694908, 795910114440, 116197425013332, 16964028141832032, 2476631911282463340, 361571295019097815608, 52786932440876998615428, 7706530565073022700036880

Offset: 1

Author

Vincenzo Librandi, Apr 15 2010

Keywords

• nonn
• easy

Comments

The corresponding values of x of this Pell equation are in A174747.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200
• Index entries for linear recurrences with constant coefficients, signature (146,-1).

Crossrefs

Cf. A174747.

Programs

Magma

I:=[0, 12]; [n le 2 select I[n] else 146*Self(n-1)-Self(n-2): n in [1..20]];

Mathematica

LinearRecurrence[{146,-1},{0,12},30]

Formula

a(n) = 146*a(n-1)-a(n-2) with a(1)=0, a(2)=12.

G.f.: 12*x^2/(1-146*x+x^2).