A042754 Numerators of continued fraction convergents to sqrt(908).

30, 211, 241, 452, 6569, 7021, 13590, 102151, 6142650, 43100701, 49243351, 92344052, 1342060079, 1434404131, 2776464210, 20869653601, 1254955680270, 8805559415491, 10060515095761, 18866074511252, 274185558253289, 293051632764541, 567237191017830

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,204302,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -30*x^14 +211*x^13 -241*x^12 +452*x^11 -6569*x^10 +7021*x^9 -13590*x^8 -102151*x^7 -13590*x^6 -7021*x^5 -6569*x^4 -452*x^3 -241*x^2 -211*x -30) / ((x^8 -452*x^4 +1)*(x^8 +452*x^4 +1)). - Colin Barker, Dec 22 2013

Mathematica

Numerator[Convergents[Sqrt[908], 30]] (* Harvey P. Dale, Dec 15 2011 *)

Crossrefs

Cf. A042755, A040877.

Sequence in context: A215627 A178672 A061661 * A215192 A244836 A076389

Adjacent sequences: A042751 A042752 A042753 * A042755 A042756 A042757

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved