A042835 Denominators of continued fraction convergents to sqrt(948).

1, 1, 4, 5, 19, 385, 1174, 1559, 5851, 7410, 450451, 457861, 1824034, 2281895, 8669719, 175676275, 535698544, 711374819, 2669823001, 3381197820, 205541692201, 208922890021, 832310362264, 1041233252285, 3956010119119, 80161435634665, 244440317023114

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 456302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +4*x^16 -5*x^15 +19*x^14 -385*x^13 +1174*x^12 -1559*x^11 +5851*x^10 -7410*x^9 -5851*x^8 -1559*x^7 -1174*x^6 -385*x^5 -19*x^4 -5*x^3 -4*x^2 -x -1) / (x^20 -456302*x^10 +1). - Colin Barker, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[948], 30]] (* Vincenzo Librandi, Jan 30 2014 *)

Crossrefs

Cf. A042834, A040917.

Sequence in context: A032319 A346060 A041255 * A193964 A337443 A099897

Adjacent sequences: A042832 A042833 A042834 * A042836 A042837 A042838

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved