A042788 Numerators of continued fraction convergents to sqrt(925).

30, 61, 152, 365, 882, 53285, 107452, 268189, 643830, 1555849, 93994770, 189545389, 473085548, 1135716485, 2744518518, 165806827565, 334358173648, 834523174861, 2003404523370, 4841332221601, 292483337819430, 589808007860461, 1472099353540352

Offset

0,1

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, 1764, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-30*x^8+61*x^7-152*x^6+365*x^5+882*x^4+365*x^3+152*x^2+61*x+30) / (x^10+1764*x^5-1). - Colin Barker, Dec 23 2013

Maple

convert(sqrt(925), confrac, 30, cvgts): numer(cvgts); # Wesley Ivan Hurt, Dec 23 2013

Mathematica

Numerator[Convergents[Sqrt[925], 30]] (* Vincenzo Librandi, Dec 04 2013 *)

Crossrefs

Cf. A042789, A040894.

Sequence in context: A042786 A042782 A042780 * A042790 A042792 A042794

Adjacent sequences: A042785 A042786 A042787 * A042789 A042790 A042791

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved